×

zbMATH — the first resource for mathematics

Lions, Pierre-Louis

Compute Distance To:
Author ID: lions.pierre-louis Recent zbMATH articles by "Lions, Pierre-Louis"
Published as: Lions, Pierre-Louis; Lions, P. L.; Lions, P.-L.; Lions, Pierre Louis
Homepage: https://www.college-de-france.fr/site/pierre-louis-lions/
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef · theses.fr
Awards: Fields Medal (1994)
Documents Indexed: 380 Publications since 1977, including 12 Books
Reviewing Activity: 1 Review
Biographic References: 4 Publications
all top 5

Co-Authors

117 single-authored
35 Souganidis, Panagiotis E.
29 Lasry, Jean-Michel
27 Le Bris, Claude
22 Crandall, Michael G.
15 Blanc, Xavier
14 Perthame, Benoît
12 Berestycki, Henri
12 Catto, Isabelle
11 DiPerna, Ronald J.
10 Alvino, Angelo
10 Masmoudi, Nader
10 Trombetti, Guido
6 Esteban, Maria J.
6 Morel, Jean-Michel
5 Bahri, Abbas
5 Ishii, Hitoshi
4 Arisawa, Mariko
4 Barles, Guy
4 Brézis, Haïm
4 Cardaliaguet, Pierre
4 Evans, Lawrence Craig
4 Guichard, Frédéric
4 Menaldi, Jose-Luis
4 Meyer, Yves F.
3 Achdou, Yves
3 Bertucci, Charles
3 Coifman, Ronald Raphaël
3 Guedes de Figueiredo, Djairo
3 Diaz Diaz, Jesus Ildefonso
3 Fournié, Eric
3 Musiela, Marek
3 Quarteroni, Alfio M.
3 Semmes, Stephen W.
3 Tadmor, Eitan
3 Trudinger, Neil Sidney
2 Caglioti, Emanuele
2 Capuzzo Dolcetta, Italo
2 Cazenave, Thierry
2 Gassiat, Paul
2 Gogny, D.
2 Marchioro, Carlo
2 Moll, Benjamin
2 Nussbaum, Roger David
2 Pacella, Filomena
2 Porretta, Alessio
2 Pulvirenti, Mario
2 Sznitman, Alain-Sol
2 Toscani, Giuseppe
2 Urbas, John Ivan Eugene
1 Alziary, Bénédicte
1 Bensoussan, Alain
1 Buera, Francisco J.
1 Cancès, Eric
1 Catté, Francine
1 Chambolle, Antonin
1 Chan, Tony Fan-Cheong
1 Coll, Tomeu
1 Coron, Jean-Michel
1 Coti Zelati, Vittorio
1 Da Lio, Francesca
1 Darves-Bornoz, J. M.
1 Delarue, François
1 Desjardins, Benoît
1 Duffie, James Darrell
1 Ekeland, Ivar
1 Ferone, Vincenzo
1 Fleming, Wendell Helms
1 Friedman, Avner
1 Friz, Peter Karl
1 Fusco, Nicola
1 Gabaix, Xavier
1 Gallagher, Isabelle
1 Gallay, Thierry
1 Gess, Benjamin
1 Gimbert, P.
1 Giraud, Pierre-Noel
1 Golse, François
1 Grenier, Emmanuel
1 Guéant, Olivier
1 Hauray, Maxime
1 Hou, Thomas Yizhao
1 Kocan, Maciej
1 Kutev, Nikolai D.
1 Lachapelle, Aime
1 Larrouturou, Bernard
1 Laurière, Mathieu
1 Lebuchous, Jérôme
1 Lebuchoux, Jérôme
1 Lehalle, Charles-Albert
1 Majda, Andrew J.
1 Mas-Gallic, Sylvie
1 Matarasso, Silvano
1 Motet, Gilles
1 Nečas, Jindřich
1 Netuka, Ivan
1 Nisio, Makiko
1 Paul, Thierry
1 Peletier, Lambertus Adrianus
1 Rouy, Elisabeth
1 Samko, Natasha
...and 8 more Co-Authors
all top 5

Serials

37 Comptes Rendus de l’Académie des Sciences. Série I
17 Communications in Partial Differential Equations
17 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Archive for Rational Mechanics and Analysis
12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
11 Journal of Functional Analysis
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Communications on Pure and Applied Mathematics
8 Nonlinear Analysis. Theory, Methods & Applications
7 Communications in Mathematical Physics
6 SIAM Journal on Control and Optimization
5 Indiana University Mathematics Journal
5 Proceedings of the American Mathematical Society
5 Ricerche di Matematica
5 Revista Matemática Iberoamericana
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Israel Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Differential Equations
3 Transactions of the American Mathematical Society
3 Differential and Integral Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Computing and Visualization in Science
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Applicable Analysis
2 Journal d’Analyse Mathématique
2 Stochastics
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Optimization
2 Inventiones Mathematicae
2 Journal of Mathematics of Kyoto University
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
2 Bulletin of the American Mathematical Society. New Series
2 Finance and Stochastics
2 Bollettino della Unione Matematica Italiana. Series V. A
2 Oxford Lecture Series in Mathematics and its Applications
2 Networks and Heterogeneous Media
1 Computer Methods in Applied Mechanics and Engineering
1 Nonlinearity
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Boletim da Sociedade Brasileira de Matemática
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Duke Mathematical Journal
1 Econometrica
1 Gazette des Mathématiciens
1 Illinois Journal of Mathematics
1 Journal of Mathematical Economics
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the Japan Academy. Series A
1 RAIRO. Analyse Numérique
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico
1 Delft Progress Report
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Physica D
1 Probability Theory and Related Fields
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 SIAM Review
1 Philosophical Transactions of the Royal Society of London. Series A
1 Séminaire Équations aux Dérivées Partielles
1 Electronic Journal of Differential Equations (EJDE)
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Studies
1 Communications in Applied Analysis
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Milan Journal of Mathematics
1 Communications in Mathematical Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Annals of Mathematics Studies
1 The IMA Volumes in Mathematics and its Applications
1 Lecture Notes in Mathematics
1 Mathematics and Financial Economics
1 Japanese Journal of Mathematics. 3rd Series
1 Research in the Mathematical Sciences
1 Séminaire Laurent Schwartz. EDP et Applications
1 De Gruyter Series in Applied and Numerical Mathematics
1 Oxford Mathematical Monographs
all top 5

Fields

270 Partial differential equations (35-XX)
95 Calculus of variations and optimal control; optimization (49-XX)
62 Fluid mechanics (76-XX)
49 Probability theory and stochastic processes (60-XX)
39 Systems theory; control (93-XX)
34 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
33 Statistical mechanics, structure of matter (82-XX)
27 Functional analysis (46-XX)
25 Operator theory (47-XX)
24 Quantum theory (81-XX)
23 Numerical analysis (65-XX)
13 Global analysis, analysis on manifolds (58-XX)
10 Ordinary differential equations (34-XX)
10 Mechanics of particles and systems (70-XX)
9 Computer science (68-XX)
7 General and overarching topics; collections (00-XX)
7 Integral equations (45-XX)
7 Mechanics of deformable solids (74-XX)
7 Operations research, mathematical programming (90-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Astronomy and astrophysics (85-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistics (62-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

346 Publications have been cited 22,806 times in 14,757 Documents Cited by Year
User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015
Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis
1992
Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029
Berestycki, Henri; Lions, Pierre-Louis
952
1983
The concentration-compactness principle in the calculus of variations. The locally compact case. I. Zbl 0541.49009
Lions, Pierre-Louis
805
1984
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024
Crandall, Michael G.; Lions, Pierre-Louis
758
1983
The concentration-compactness principle in the calculus of variations. The locally compact case. II. Zbl 0704.49004
Lions, P.-L.
746
1984
The concentration-compactness principle in the calculus of variations. The limit case. I. Zbl 0704.49005
Lions, P.-L.
744
1985
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
742
1989
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050
Lions, Pierre-Louis; Mercier, B.
569
1979
Mean field games. Zbl 1156.91321
Lasry, Jean-Michel; Lions, Pierre-Louis
546
2007
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
458
1989
Mathematical topics in fluid mechanics. Vol. 1: Incompressible models. Zbl 0866.76002
Lions, Pierre-Louis
404
1996
The concentration-compactness principle in the calculus of variations. The limit case. II. Zbl 0704.49006
Lions, P.-L.
399
1985
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Zbl 0908.76004
Lions, Pierre-Louis
393
1998
Orbital stability of standing waves for some nonlinear Schrödinger equations. Zbl 0513.35007
Cazenave, T.; Lions, Pierre-Louis
359
1982
Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011
Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis
348
1984
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
334
1997
Compensated compactness and Hardy spaces. Zbl 0864.42009
Coifman, R.; Lions, P. L.; Meyer, Y.; Semmes, S.
311
1993
On the existence of positive solutions of semilinear elliptic equations. Zbl 0511.35033
Lions, Pierre-Louis
285
1982
Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060
Lions, Pierre-Louis; Sznitman, A. S.
279
1984
Mean field games. I: The stationary case. (Jeux à champ moyen. I: Le cas stationnaire.) Zbl 1153.91009
Lasry, Jean-Michel; Lions, Pierre-Louis
262
2006
Generalized solutions of Hamilton-Jacobi equations. Zbl 0497.35001
Lions, Pierre-Louis
247
1982
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
245
1983
Mean field games. II: Finite horizon and optimal control. (Jeux à champ moyen. II: Horizon fini et contrôle optimal.) Zbl 1153.91010
Lasry, Jean-Michel; Lions, Pierre-Louis
237
2006
The Choquard equation and related questions. Zbl 0453.47042
Lions, Pierre-Louis
227
1980
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations. Zbl 0708.35031
Ishii, H.; Lions, P. L.
224
1990
Solutions of Hartree-Fock equations for Coulomb systems. Zbl 0618.35111
Lions, P. L.
212
1987
Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061
Lions, P. L.; Perthame, B.
202
1991
A priori estimates and existence of positive solutions of semilinear elliptic equations. Zbl 0452.35030
de Figueiredo, D. G.; Lions, Pierre-Louis; Nussbaum, R. D.
197
1982
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091
Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu
196
1992
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001
Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M.
194
1992
Regularity of the moments of the solution of a transport equation. Zbl 0652.47031
Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi
185
1988
On Wigner measures. (Sur les mesures de Wigner.) Zbl 0801.35117
Lions, Pierre Louis; Paul, Thierry
181
1993
Symétrie et compacité dans les espaces de Sobolev. Zbl 0501.46032
Lions, Pierre-Louis
176
1982
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness. Zbl 0716.49023
Lions, P.-L.
163
1983
A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094
Lions, P. L.; Perthame, B.; Tadmor, E.
163
1994
Incompressible limit for a viscous compressible fluid. Zbl 0909.35101
Lions, P.-L.; Masmoudi, N.
162
1998
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
150
1984
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
148
1989
Image selective smoothing and edge detection by nonlinear diffusion. II. Zbl 0766.65117
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel
148
1992
Approximation de points fixes de contractions. Zbl 0349.47046
Lions, Pierre-Louis
147
1977
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
139
1997
Existence and non-existence results for semilinear elliptic problems in unbounded domains. Zbl 0506.35035
Esteban, M. J.; Lions, Pierre-Louis
133
1982
Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem. Zbl 0688.49026
Lasry, J. M.; Lions, P. L.
132
1989
Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151
Lions, P. L.; Perthame, B.; Tadmor, E.
131
1994
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
127
1996
A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002
Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M.
126
1995
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
124
1993
Applications of Malliavin calculus to Monte Carlo methods in finance. Zbl 0947.60066
Fournié, Eric; Lasry, Jean-Michel; Lebuchous, Jérôme; Lions, Pierre-Louis
122
1999
Produits infinis de resolvantes. Zbl 0387.47038
Brézis, Haïm; Lions, Pierre-Louis
121
1978
An ODE approach to the existence of positive solutions for semilinear problems in \(R^ n\). Zbl 0522.35036
Berestycki, Henri; Lions, Pierre-Louis; Peletier, L. A.
120
1981
On the Schwarz alternating method. I. Zbl 0658.65090
Lions, P. L.
119
1988
Global solutions for some Oldroyd models of non-Newtonian flows. Zbl 0957.35109
Lions, P. L.; Masmoudi, N.
110
2000
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
103
1982
Morse index of some min-max critical points. I: Application to multiplicity results. Zbl 0645.58013
Bahri, A.; Lions, P. L.
93
1988
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
93
2002
On optimization problems with prescribed rearrangements. Zbl 0678.49003
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
91
1989
Solutions of superlinear elliptic equations and their Morse indices. Zbl 0801.35026
Bahri, A.; Lions, P. L.
84
1992
A remark on regularization in Hilbert spaces. Zbl 0631.49018
Lasry, J. M.; Lions, P. L.
83
1986
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
82
2008
Hamilton-Jacobi equations with state constraints. Zbl 0702.49019
Capuzzo-Dolcetta, I.; Lions, Pierre-Louis
81
1990
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. I: The dynamic programming principle and applications. Zbl 0716.49022
Lions, P.-L.
81
1983
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II. Zbl 0987.76088
Lions, P.-L.; Masmoudi, N.
80
2001
\(L^ p\) regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
78
1991
Résolution de problèmes elliptiques quasilineaires. Zbl 0449.35036
Lions, Pierre-Louis
77
1980
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
77
1997
Convex viscosity solutions and state constraints. Zbl 0890.49013
Alvarez, O.; Lasry, J.-M.; Lions, P.-L.
76
1997
Compactness in Boltzmann’s equation via Fourier integral operators and applications. I, II. Zbl 0831.35139
Lions, P. L.
75
1994
Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067
Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N.
73
1999
Multi-dimensional travelling-wave solutions of a flame propagation model. Zbl 0711.35066
Berestycki, H.; Larrouturou, B.; Lions, P. L.
72
1990
Solutions globales d’équations de la chaleur semi linéaires. (Global solutions of semi-linear heat equations). Zbl 0555.35067
Cazenave, Thierry; Lions, Pierre-Louis
71
1984
Neumann type boundary conditions for Hamilton-Jacobi equations. Zbl 0599.35025
Lions, Pierre-Louis
68
1985
Isolated singularities in semilinear problems. Zbl 0458.35033
Lions, Pierre-Louis
68
1980
Applications of Malliavin calculus to Monte-Carlo methods in finance. II. Zbl 0973.60061
Fournié, Eric; Lasry, Jean-Michel; Lebuchoux, Jérôme; Lions, Pierre-Louis
67
2001
On the Schwarz alternating method. III: A variant for nonoverlapping subdomains. Zbl 0704.65090
Lions, P. L.
64
1990
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
62
1988
Comparison results for elliptic and parabolic equations via Schwarz symmetrization. Zbl 0703.35007
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
62
1990
Mean field games and applications. Zbl 1205.91027
Guéant, Olivier; Lasry, Jean-Michel; Lions, Pierre-Louis
61
2011
Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109
Lions, Pierre Louis; Toscani, Giuseppe
60
1997
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
59
2003
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
59
2012
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
58
1998
Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013
Crandall, Michael G.; Lions, Pierre-Louis
57
1985
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
1998
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
2005
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
54
1996
Differential games, optimal control and directional derivatives of viscosity solutions of Bellman’s and Isaacs’ equations. Zbl 0569.49019
Lions, Pierre-Louis; Souganidis, P. E.
52
1985
Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
51
2004
On ergodic stochastic control. Zbl 1126.93434
Arisawa, M.; Lions, P.-L.
50
1998
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions. Zbl 0757.93082
Lions, P. L.
50
1988
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
50
2005
Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364
Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A.
50
2013
Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems). Zbl 0614.35034
Lions, P. L.
49
1985
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
48
1986
A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Zbl 0662.35048
Jensen, R.; Lions, P.-L.; Souganidis, P. E.
48
1988
The master equation and the convergence problem in mean field games. Zbl 1430.91002
Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis
48
2019
On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016
Crandall, Michael G.; Lions, Pierre-Louis
47
1986
Best constants in Sobolev inequalities for functions vanishing on some part of the boundary and related questions. Zbl 0631.46033
Lions, P. L.; Pacella, F.; Tricarico, M.
46
1988
On Boltzmann and Landau equations. Zbl 0809.35137
Lions, P. L.
46
1994
Two remarks on Monge-Ampère equations. Zbl 0594.35023
Lions, Pierre-Louis
45
1985
Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021
Crandall, Michael G.; Lions, Pierre-Louis
43
1986
Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155
Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E.
4
2020
Strategic advantages in mean field games with a major player. (Avantages stratégiques dans des jeux à champ moyen avec un agent majoritaire.) Zbl 1445.91002
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
1
2020
The master equation and the convergence problem in mean field games. Zbl 1430.91002
Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis
48
2019
Some remarks on mean field games. Zbl 1411.91100
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
10
2019
On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion. Zbl 1416.35092
Blanc, X.; Le Bris, Claude; Lions, P.-L.
1
2019
Parabolic equations with irregular data and related issues. Applications to stochastic differential equations. Zbl 07046231
Le Bris, Claude; Lions, Pierre-Louis
1
2019
Mean-field games with a major player. (Jeux à champ moyen avec agent dominant.) Zbl 1410.91048
Lasry, Jean-Michel; Lions, Pierre-Louis
6
2018
On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092
Blanc, X.; Le Bris, C.; Lions, P.-L.
4
2018
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
11
2017
Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293
Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E.
10
2017
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
19
2016
Efficiency of the price formation process in presence of high frequency participants: a mean field game analysis. Zbl 1404.91245
Lachapelle, Aimé; Lasry, Jean-Michel; Lehalle, Charles-Albert; Lions, Pierre-Louis
17
2016
The dynamics of inequality. Zbl 1420.91061
Gabaix, Xavier; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
8
2016
A long-term mathematical model for mining industries. Zbl 1411.91428
Achdou, Yves; Giraud, Pierre-Noel; Lasry, Jean-Michel; Lions, Pierre-Louis
3
2016
Local profiles for elliptic problems at different scales: defects in, and interfaces between periodic structures. Zbl 1333.35003
Blanc, X.; Le Bris, C.; Lions, P.-L.
9
2015
Local profiles and elliptic problems at different scales with defects. (Profils locaux et problèmes elliptiques à plusieurs échelles avec défauts.) Zbl 1312.35054
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
3
2015
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
33
2014
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
25
2014
Long time average of mean field games with a nonlocal coupling. Zbl 1332.35364
Cardaliaguet, P.; Lasry, J.-M.; Lions, P.-L.; Porretta, A.
50
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
30
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
14
2013
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Reprint of the 1998 hardback ed. Zbl 1264.76003
Lions, Pierre-Louis
2
2013
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
59
2012
A possible homogenization approach for the numerical simulation of periodic microstructures with defects. Zbl 1255.74051
Blanc, X.; Le Bris, C.; Lions, P.-L.
12
2012
From the Newton equation to the wave equation in some simple cases. Zbl 1259.35163
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
1
2012
Mean field games and applications. Zbl 1205.91027
Guéant, Olivier; Lasry, Jean-Michel; Lions, Pierre-Louis
61
2011
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2010
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
16
2009
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
82
2008
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013
Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E.
14
2008
Molecular simulation and related topics: some open mathematical problems. Zbl 1158.35100
Cancès, Eric; Le Bris, C.; Lions, P.-L.
3
2008
Mean field games. Zbl 1156.91321
Lasry, Jean-Michel; Lions, Pierre-Louis
546
2007
Correlations and bounds for stochastic volatility models. Zbl 1108.62110
Lions, P.-L.; Musiela, M.
32
2007
Global existence of weak solutions to some micro-macro models. Zbl 1117.35312
Lions, Pierre-Louis; Masmoudi, Nader
31
2007
The energy of some microscopic stochastic lattices. Zbl 1173.82308
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
26
2007
Stochastic homogenization and random lattices. Zbl 1129.60055
Blanc, X.; Le Bris, C.; Lions, P.-L.
25
2007
Atomistic to continuum limits for computational materials science. Zbl 1144.82018
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
20
2007
Large investor trading impacts on volatility. Zbl 1160.91016
Lions, Pierre-Louis; Lasry, Jean-Michel
11
2007
Two remarks on generalized flows for ordinary differential equations. (Deux remarques sur les flots généralisés d’équations différentielles ordinaires.) Zbl 1132.34043
Hauray, Maxime; Le Bris, Claude; Lions, Pierre-Louis
7
2007
Instantaneous self-fulfilling of long-term prophecies on the probabilistic distribution of financial asset values. Zbl 1130.91340
Lions, P.-L.; Lasry, J.-M.
4
2007
Large investor trading impacts on volatility. Zbl 1153.91428
Lions, Pierre-Louis; Lasry, Jean-Michel
3
2007
Mean field games. I: The stationary case. (Jeux à champ moyen. I: Le cas stationnaire.) Zbl 1153.91009
Lasry, Jean-Michel; Lions, Pierre-Louis
262
2006
Mean field games. II: Finite horizon and optimal control. (Jeux à champ moyen. II: Horizon fini et contrôle optimal.) Zbl 1153.91010
Lasry, Jean-Michel; Lions, Pierre-Louis
237
2006
A variant of stochastic homogenization theory for elliptic operators. (Une variante de la théorie de l’homogénéisation stochastique des opérateurs elliptiques.) Zbl 1103.35014
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
17
2006
Convexity of solutions of parabolic equations. Zbl 1096.35006
Lions, Pierre-Louis; Musiela, Marek
13
2006
Towards a self-consistent theory of volatility. Zbl 1127.91027
Lions, Pierre-Louis; Lasry, Jean-Michel
7
2006
Discrete to continuum limit for some models of stochastic lattices of atoms. (Du discret au continu pour des modèles de réseaux aléatoires d’atomes.) Zbl 1095.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
5
2006
Some properties of diffusion processes with singular coefficients. Zbl 1104.60045
Lions, Pierre-Louis; Musiela, Marek
3
2006
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
2005
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
50
2005
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
37
2005
On the uniqueness of the solution of the two-dimensional Navier–Stokes equation with a Dirac mass as initial vorticity. Zbl 1083.35092
Gallagher, Isabelle; Gallay, Thierry; Lions, Pierre-Louis
13
2005
Homogenization of the Euler system in a 2D porous medium. Zbl 1072.35032
Lions, P.-L.; Masmoudi, N.
11
2005
Renormalized solutions of some transport equations with partially \(W^{1,1}\) velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
51
2004
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
59
2003
A definition of the ground state energy for systems composed of infinitely many particles. Zbl 1035.82004
Blanc, X.; Le Bris, C.; Lions, P. L.
18
2003
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
93
2002
On some periodic Hartree-type models for crystals. Zbl 1005.81101
Catto, I.; Le Bris, C.; Lions, P.-L.
26
2002
Characterization of functions on \(\mathbb{R}^3\) with bounded Newtonian potential. (Caractérisation des fonctions de \(\mathbb{R}^3\) à potentiel newtonien borné.) Zbl 0995.35028
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2
2002
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II. Zbl 0987.76088
Lions, P.-L.; Masmoudi, N.
80
2001
Applications of Malliavin calculus to Monte-Carlo methods in finance. II. Zbl 0973.60061
Fournié, Eric; Lasry, Jean-Michel; Lebuchoux, Jérôme; Lions, Pierre-Louis
67
2001
On the thermodynamic limit for Hartree-Fock type models. Zbl 0994.35115
Catto, I.; Le Bris, C.; Lions, P.-L.
39
2001
Uniqueness of mild solutions of the Navier-Stokes system in \(L^N\). Zbl 1086.35077
Lions, P.-L.; Masmoudi, N.
31
2001
A deterministic particle method for nonlinear diffusion equations. (Une méthode particulaire déterministe pour des équations diffusives non linéaires.) Zbl 0973.65003
Lions, Pierre-Louis; Mas-Gallic, Sylvie
22
2001
Convergence of molecular models to continuum mechanics models. (Convergence de modèles moléculaires vers des modèles de mécanique des milieux continus.) Zbl 0986.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
10
2001
Global solutions for some Oldroyd models of non-Newtonian flows. Zbl 0957.35109
Lions, P. L.; Masmoudi, N.
110
2000
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
33
2000
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
32
2000
Equilibrium statistical theory for nearly parallel vortex filaments. Zbl 1041.76038
Lions, Pierre-Louis; Majda, Andrew
17
2000
A new class of singular stochastic control problems. (Une classe nouvelle de problèmes singuliers de contrôle stochastique.) Zbl 0971.49015
Lasry, Jean-Michel; Lions, Pierre-Louis
6
2000
On some challenging problems in nonlinear partial differential equations. Zbl 0972.35094
Lions, P.-L.
3
2000
A characterization of the existence of solutions for Hamilton-Jacobi equations in ergodic control problems with applications. Zbl 0967.35029
Arisawa, M.; Ishii, H.; Lions, P.-L.
2
2000
Applications of Malliavin calculus to Monte Carlo methods in finance. Zbl 0947.60066
Fournié, Eric; Lasry, Jean-Michel; Lebuchous, Jérôme; Lions, Pierre-Louis
122
1999
Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. Zbl 0992.35067
Desjardins, B.; Grenier, E.; Lions, P.-L.; Masmoudi, N.
73
1999
A local approach to the incompressible limit. (Une approche locale de la limite incompressible.) Zbl 0937.35132
Lions, Pierre-Louis; Masmoudi, Nader
39
1999
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029
Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A.
37
1999
On a free boundary barotropic model. Zbl 0917.76073
Lions, P.-L.; Masmoudi, N.
22
1999
Bounds on the density for compressible isentropic Navier-Stokes equations with Dirichlet boundary conditions. (Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet.) Zbl 0931.35126
Lions, Pierre-Louis
14
1999
Comparison results for solutions of elliptic problems via symmetrization. Zbl 0924.35038
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis; Matarasso, Silvano
11
1999
Stochastic control under partial information and applications to finance. (Contrôle stochastique avec informations partielles et applications à la finance.) Zbl 0937.93058
Laskry, Jean-Michel; Lions, Pierre-Louis
6
1999
Nonlinear stochastic partial differential equations and viscosity solutions. (Équations aux dérivées partielles stochastiques nonlinéaires et solutions de viscosité.) Zbl 1061.35530
Lions, P.-L.; Souganidis, P. E.
4
1999
Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Zbl 0908.76004
Lions, Pierre-Louis
393
1998
Incompressible limit for a viscous compressible fluid. Zbl 0909.35101
Lions, P.-L.; Masmoudi, N.
162
1998
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
58
1998
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
1998
On ergodic stochastic control. Zbl 1126.93434
Arisawa, M.; Lions, P.-L.
50
1998
The mathematical theory of thermodynamic limits: Thomas-Fermi type models. Zbl 0938.81001
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
35
1998
Regularity and compactness for Boltzmann collision kernels without angular cut-off. (Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire.) Zbl 0920.35114
Lions, Pierre-Louis
24
1998
On ordinary differential equations and transport equations. (Sur les équations différentielles ordinaires et les équations de transport.) Zbl 0919.34028
Lions, Pierre-Louis
17
1998
Identification of the dual cone of convex functions and applications. (Identification du cône dual des fonctions convexes et applications.) Zbl 0924.46059
Lions, Pierre-Louis
10
1998
Optimal regularity of velocity averages. II. (Régularité optimale des moyennes en vitesses. II.) Zbl 0922.35135
Lions, Pierre-Louis
8
1998
On the thermodynamic limit for Hartree and Hartree-Fock type models. (Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock.) Zbl 0919.35142
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
8
1998
Uniqueness of weak solutions of Navier-Stokes in \(L^N(\Omega)\). (Unicité des solutions faibles de Navier-Stokes dans \(L^N(\Omega)\).) Zbl 0990.35114
Lions, Pierre-Louis; Masmoudi, Nader
7
1998
On Euler equations and statistical physics. Zbl 1024.35085
Lions, Pierre-Louis
3
1998
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
334
1997
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
139
1997
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
77
1997
Convex viscosity solutions and state constraints. Zbl 0890.49013
Alvarez, O.; Lasry, J.-M.; Lions, P.-L.
76
1997
Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109
Lions, Pierre Louis; Toscani, Giuseppe
60
1997
Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995. Zbl 0868.00050
Capuzzo Dolcetta, I.; Lions, P. L.
4
1997
...and 246 more Documents
all top 5

Cited by 11,004 Authors

139 Lions, Pierre-Louis
76 Alves, Claudianor Oliveira
72 Feireisl, Eduard
65 Perthame, Benoît
65 Tang, Xianhua
61 Souganidis, Panagiotis E.
53 Do Ó, João M. Bezerra
52 Cardaliaguet, Pierre
51 Barles, Guy
50 Rossi, Julio Daniel
49 Ishii, Hitoshi
49 Masmoudi, Nader
42 Wu, Tsungfang
39 Figueiredo, Giovany Malcher
39 Le Bris, Claude
39 Miyagaki, Olimpio Hiroshi
38 Wang, Zhi-Qiang
38 Wei, Juncheng
38 Yang, Minbo
37 Gomes, Diogo Luís Aguiar
37 Zou, Wenming
35 Squassina, Marco
34 Ding, Yanheng
33 Porretta, Alessio
32 Cannarsa, Piermarco
32 Novotný, Antonín
32 Wang, Dehua
32 Yang, Jianfu
31 Giga, Yoshikazu
31 Zhang, Ping
30 Cianchi, Andrea
30 Crippa, Gianluca
30 Quaas, Alexander
30 Wang, Jun
30 Zhang, Xianwen
29 Markowich, Peter Alexander
28 Ambrosio, Luigi
28 Chen, Gui-Qiang G.
28 Felmer, Patricio L.
28 Lu, Guozhen
28 Monneau, Régis
28 Nečasová, Šárka
28 Osher, Stanley Joel
28 Van Schaftingen, Jean
28 Vasseur, Alexis F.
27 Benci, Vieri
27 Cao, Daomin
27 Golse, François
27 Kang, Dongsheng
27 Peng, Shuangjie
27 Pucci, Patrizia
27 Świȩch, Andrzej
27 Winkler, Michael
27 Yang, Tong
26 Berestycki, Henri
26 Buckdahn, Rainer
26 Jeanjean, Louis
26 Lewin, Mathieu
25 Byeon, Jaeyoung
25 Camilli, Fabio
25 Desvillettes, Laurent
25 Touzi, Nizar
25 Vazquez, Juan Luis
25 Zhang, Jianjun
24 Barron, Emmanuel Nicholas
24 Caffarelli, Luis Ángel
24 Capuzzo Dolcetta, Italo
24 Chen, Sitong
24 Deng, Yinbin
24 Esteban, Maria J.
24 Flandoli, Franco
24 Karlsen, Kenneth Hvistendahl
24 Li, Gongbao
24 Li, Juan
24 Soner, Halil Mete
24 Yang, Dachun
23 Ambrosio, Vincenzo
23 Bardi, Martino
23 Dolbeault, Jean
23 Hsu, TsingSan
23 Huang, Feimin
23 Jabin, Pierre-Emmanuel
23 Kwon, Young-Sam
23 Merle, Frank
22 Bartolucci, Daniele
22 Bayraktar, Erhan
22 Chen, Jianqing
22 Goudon, Thierry
22 Novaga, Matteo
22 Peral Alonso, Ireneo
22 Quincampoix, Marc
22 Ruf, Bernhard
22 Saanouni, Tarek
22 Saint-Raymond, Laure
22 Xin, Zhouping
21 Donatelli, Donatella
21 Jiang, Song
21 Mitake, Hiroyoshi
21 Raphael, Pierre
21 Sirakov, Boyan Slavchev
...and 10,904 more Authors
all top 5

Cited in 678 Serials

835 Journal of Differential Equations
717 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
698 Journal of Mathematical Analysis and Applications
406 Archive for Rational Mechanics and Analysis
358 Calculus of Variations and Partial Differential Equations
310 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
310 Communications in Partial Differential Equations
254 Journal of Functional Analysis
233 Journal de Mathématiques Pures et Appliquées. Neuvième Série
214 Communications in Mathematical Physics
211 Nonlinear Analysis. Theory, Methods & Applications
195 Journal of Mathematical Physics
184 Discrete and Continuous Dynamical Systems
164 Transactions of the American Mathematical Society
153 NoDEA. Nonlinear Differential Equations and Applications
149 Applied Mathematics and Optimization
143 Communications on Pure and Applied Analysis
142 Comptes Rendus. Mathématique. Académie des Sciences, Paris
140 Journal of Optimization Theory and Applications
140 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
137 Computers & Mathematics with Applications
137 SIAM Journal on Mathematical Analysis
129 Journal of Computational Physics
128 Proceedings of the American Mathematical Society
125 ZAMP. Zeitschrift für angewandte Mathematik und Physik
125 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
122 Applied Mathematics and Computation
120 Stochastic Processes and their Applications
115 Applied Mathematics Letters
109 Journal of Scientific Computing
108 Communications on Pure and Applied Mathematics
108 Annali di Matematica Pura ed Applicata. Serie Quarta
106 Mathematical Methods in the Applied Sciences
106 Nonlinear Analysis. Real World Applications
104 Journal of Statistical Physics
98 Communications in Contemporary Mathematics
95 Advanced Nonlinear Studies
94 Journal of Computational and Applied Mathematics
92 Advances in Mathematics
90 Applicable Analysis
88 Mathematische Annalen
85 SIAM Journal on Control and Optimization
84 Journal of Mathematical Imaging and Vision
80 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
68 Mathematics of Computation
68 Science China. Mathematics
67 Abstract and Applied Analysis
67 Boundary Value Problems
67 Advances in Nonlinear Analysis
64 Journal of Mathematical Fluid Mechanics
63 The Annals of Applied Probability
62 Numerische Mathematik
62 Acta Applicandae Mathematicae
62 Physica D
59 Nonlinearity
57 The Annals of Probability
56 Probability Theory and Related Fields
56 Kinetic and Related Models
54 Acta Mathematica Sinica. English Series
53 Applied Numerical Mathematics
53 Potential Analysis
52 Revista Matemática Iberoamericana
50 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
49 Automatica
49 Manuscripta Mathematica
49 Journal of Mathematical Sciences (New York)
49 Complex Variables and Elliptic Equations
49 Dynamic Games and Applications
48 Duke Mathematical Journal
46 Acta Mathematicae Applicatae Sinica. English Series
44 Mediterranean Journal of Mathematics
43 Chinese Annals of Mathematics. Series B
43 Journal of Dynamics and Differential Equations
43 SIAM Journal on Imaging Sciences
42 Journal of Evolution Equations
41 Discrete and Continuous Dynamical Systems. Series B
40 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
40 Stochastic Analysis and Applications
40 SIAM Journal on Scientific Computing
40 Journal of Hyperbolic Differential Equations
40 Fixed Point Theory and Applications
39 Computer Methods in Applied Mechanics and Engineering
39 Optimization
39 The Journal of Geometric Analysis
39 Journal of the European Mathematical Society (JEMS)
38 Quarterly of Applied Mathematics
38 Journal of Fixed Point Theory and Applications
37 Systems & Control Letters
37 Computational Optimization and Applications
36 SIAM Journal on Optimization
34 SIAM Journal on Numerical Analysis
33 Discrete and Continuous Dynamical Systems. Series S
32 Journal of Global Optimization
32 Milan Journal of Mathematics
31 Journal d’Analyse Mathématique
31 Journal of Inequalities and Applications
30 Transport Theory and Statistical Physics
30 Journal of Nonlinear Science
30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
29 Mathematische Nachrichten
...and 578 more Serials
all top 5

Cited in 59 Fields

10,011 Partial differential equations (35-XX)
2,287 Calculus of variations and optimal control; optimization (49-XX)
1,994 Fluid mechanics (76-XX)
1,662 Numerical analysis (65-XX)
1,376 Probability theory and stochastic processes (60-XX)
1,066 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1,022 Operator theory (47-XX)
916 Statistical mechanics, structure of matter (82-XX)
803 Systems theory; control (93-XX)
663 Operations research, mathematical programming (90-XX)
640 Global analysis, analysis on manifolds (58-XX)
614 Functional analysis (46-XX)
480 Ordinary differential equations (34-XX)
459 Information and communication theory, circuits (94-XX)
424 Quantum theory (81-XX)
407 Dynamical systems and ergodic theory (37-XX)
352 Computer science (68-XX)
341 Differential geometry (53-XX)
333 Biology and other natural sciences (92-XX)
315 Real functions (26-XX)
307 Mechanics of deformable solids (74-XX)
218 Harmonic analysis on Euclidean spaces (42-XX)
201 Integral equations (45-XX)
189 Optics, electromagnetic theory (78-XX)
181 Mechanics of particles and systems (70-XX)
133 Classical thermodynamics, heat transfer (80-XX)
90 Statistics (62-XX)
89 Potential theory (31-XX)
84 Astronomy and astrophysics (85-XX)
74 Relativity and gravitational theory (83-XX)
62 Convex and discrete geometry (52-XX)
58 Geophysics (86-XX)
51 Measure and integration (28-XX)
50 Several complex variables and analytic spaces (32-XX)
45 Functions of a complex variable (30-XX)
43 Approximations and expansions (41-XX)
42 Difference and functional equations (39-XX)
32 General topology (54-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
22 General and overarching topics; collections (00-XX)
21 Topological groups, Lie groups (22-XX)
21 Abstract harmonic analysis (43-XX)
17 Algebraic topology (55-XX)
16 Manifolds and cell complexes (57-XX)
15 History and biography (01-XX)
11 Combinatorics (05-XX)
9 Integral transforms, operational calculus (44-XX)
6 Algebraic geometry (14-XX)
6 Special functions (33-XX)
5 Mathematical logic and foundations (03-XX)
5 Group theory and generalizations (20-XX)
4 Geometry (51-XX)
3 Nonassociative rings and algebras (17-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Number theory (11-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.