## Annales de l’Institut Henri Poincaré. Analyse Non Linéaire

 Short Title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire Publisher: Elsevier (Elsevier Masson), Paris; L’Institut Henri Poincaré, Paris ISSN: 0294-1449 Online: http://www.sciencedirect.com/science/journal/02941449 Comments: Indexed cover-to-cover
 Documents Indexed: 1,575 Publications (since 1984) References Indexed: 1,562 Publications with 38,653 References.
all top 5

### Latest Issues

 38, No. 6 (2021) 38, No. 5 (2021) 38, No. 4 (2021) 38, No. 3 (2021) 38, No. 2 (2021) 38, No. 1 (2021) 37, No. 6 (2020) 37, No. 5 (2020) 37, No. 4 (2020) 37, No. 3 (2020) 37, No. 2 (2020) 37, No. 1 (2020) 36, No. 7 (2019) 36, No. 6 (2019) 36, No. 5 (2019) 36, No. 4 (2019) 36, No. 3 (2019) 36, No. 2 (2019) 36, No. 1 (2019) 35, No. 7 (2018) 35, No. 6 (2018) 35, No. 5 (2018) 35, No. 4 (2018) 35, No. 3 (2018) 35, No. 2 (2018) 35, No. 1 (2018) 34, No. 7 (2017) 34, No. 6 (2017) 34, No. 5 (2017) 34, No. 4 (2017) 34, No. 3 (2017) 34, No. 2 (2017) 34, No. 1 (2017) 33, No. 6 (2016) 33, No. 5 (2016) 33, No. 4 (2016) 33, No. 3 (2016) 33, No. 2 (2016) 33, No. 1 (2016) 32, No. 6 (2015) 32, No. 5 (2015) 32, No. 4 (2015) 32, No. 3 (2015) 32, No. 2 (2015) 32, No. 1 (2015) 31, No. 6 (2014) 31, No. 5 (2014) 31, No. 4 (2014) 31, No. 3 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 6 (2013) 30, No. 5 (2013) 30, No. 4 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 29, No. 6 (2012) 29, No. 5 (2012) 29, No. 4 (2012) 29, No. 3 (2012) 29, No. 2 (2012) 29, No. 1 (2012) 28, No. 6 (2011) 28, No. 5 (2011) 28, No. 4 (2011) 28, No. 3 (2011) 28, No. 2 (2011) 28, No. 1 (2011) 27, No. 6 (2010) 27, No. 5 (2010) 27, No. 4 (2010) 27, No. 3 (2010) 27, No. 2 (2010) 27, No. 1 (2010) 26, No. 6 (2009) 26, No. 5 (2009) 26, No. 4 (2009) 26, No. 3 (2009) 26, No. 2 (2009) 26, No. 1 (2009) 25, No. 6 (2008) 25, No. 5 (2008) 25, No. 4 (2008) 25, No. 3 (2008) 25, No. 2 (2008) 25, No. 1 (2008) 24, No. 6 (2007) 24, No. 5 (2007) 24, No. 4 (2007) 24, No. 3 (2007) 24, No. 2 (2007) 24, No. 1 (2007) 23, No. 6 (2006) 23, No. 5 (2006) 23, No. 4 (2006) 23, No. 3 (2006) 23, No. 2 (2006) 23, No. 1 (2006) 22, No. 6 (2005) ...and 109 more Volumes
all top 5

### Authors

 15 Lions, Pierre-Louis 14 Wei, Juncheng 10 Zuazua, Enrique 9 Del Pino, Manuel A. 9 Duzaar, Frank 9 Wang, Zhi-Qiang 8 Caffarelli, Luis Ángel 8 Marcus, Moshe M. 8 Müller, Stefan 8 Passaseo, Donato 8 Souganidis, Panagiotis E. 8 Valdinoci, Enrico 7 Dacorogna, Bernard 7 Dal Maso, Gianni 7 Felmer, Patricio L. 7 Jost, Jürgen 7 Mingione, Giuseppe 7 Molle, Riccardo 7 Murat, François 7 Rabinowitz, Paul Henry 7 Roquejoffre, Jean-Michel 7 Terracini, Susanna 7 Zhang, Kewei 6 Ambrosetti, Antonio 6 Barles, Guy 6 Benci, Vieri 6 Bouchitté, Guy 6 Buttazzo, Giuseppe 6 Constantin, Peter 6 Gazzola, Filippo 6 Guerrero, Sergio 6 Kenig, Carlos Eduardo 6 Souplet, Philippe 6 Tanaka, Kazunaga 6 Velázquez, Juan J. L. 6 Wang, Guofang 5 Acerbi, Emilio 5 Arisawa, Mariko 5 Bronsard, Lia 5 Casado-Díaz, Juan 5 Chae, Dongho 5 Coti Zelati, Vittorio 5 Ekeland, Ivar 5 Feireisl, Eduard 5 Ghoussoub, Nassif A. 5 Grossi, Massimo 5 Helffer, Bernard 5 Ishii, Hitoshi 5 Koch, Herbert 5 LeFloch, Philippe Gerard 5 Lin, Chang-Shou 5 Masmoudi, Nader 5 Mischler, Stéphane 5 Ozawa, Tohru 5 Perthame, Benoît 5 Pistoia, Angela 5 Ponce, Gustavo 5 Quaas, Alexander 5 Rousset, Frédéric 5 Ryzhik, Lenya 5 Sire, Yannick 5 Solimini, Sergio 5 Takahashi, Takéo 5 Viana, Marcelo 5 Weth, Tobias 5 Zaslavski, Alexander Yakovlevich 4 Adami, Riccardo 4 Agrachev, Andreĭ Aleksandrovich 4 Alama, Stan 4 Alves, José Ferreira 4 Alvino, Angelo 4 Berti, Massimiliano 4 Boccardo, Lucio 4 Bonheure, Denis 4 Bonnard, Bernard 4 Bucur, Dorin 4 Carrillo de la Plata, José Antonio 4 Cellina, Arrigo 4 Cerami, Giovanna 4 Chou, Kai-Seng 4 Cianchi, Andrea 4 Da Lio, Francesca 4 Damascelli, Lucio 4 Dancer, Edward Norman 4 Dávila, Juan 4 Dipierro, Serena 4 Escobedo Martínez, Miguel 4 Foiaş, Ciprian Ilie 4 Fonseca, Irene 4 Fortunato, Donato 4 Frankowska, Hélène 4 Hamel, François 4 Jüngel, Ansgar 4 Laurençot, Philippe 4 Long, Yiming 4 Malchiodi, Andrea 4 Marcellini, Paolo 4 Méhats, Florian 4 Miao, Changxing 4 Molinet, Luc ...and 1,919 more Authors
all top 5

### Fields

 1,119 Partial differential equations (35-XX) 257 Calculus of variations and optimal control; optimization (49-XX) 200 Fluid mechanics (76-XX) 169 Global analysis, analysis on manifolds (58-XX) 164 Dynamical systems and ergodic theory (37-XX) 115 Differential geometry (53-XX) 85 Statistical mechanics, structure of matter (82-XX) 80 Operator theory (47-XX) 72 Ordinary differential equations (34-XX) 71 Functional analysis (46-XX) 64 Mechanics of deformable solids (74-XX) 62 Systems theory; control (93-XX) 39 Real functions (26-XX) 38 Mechanics of particles and systems (70-XX) 37 Quantum theory (81-XX) 33 Biology and other natural sciences (92-XX) 31 Integral equations (45-XX) 28 Probability theory and stochastic processes (60-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Measure and integration (28-XX) 18 Functions of a complex variable (30-XX) 17 Numerical analysis (65-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Optics, electromagnetic theory (78-XX) 12 Potential theory (31-XX) 11 Convex and discrete geometry (52-XX) 11 Operations research, mathematical programming (90-XX) 10 General topology (54-XX) 9 Geophysics (86-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Manifolds and cell complexes (57-XX) 7 Relativity and gravitational theory (83-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistics (62-XX)

### Citations contained in zbMATH Open

1,466 Publications have been cited 28,700 times in 21,340 Documents Cited by Year
The concentration-compactness principle in the calculus of variations. The locally compact case. I. Zbl 0541.49009
Lions, Pierre-Louis
1984
The concentration-compactness principle in the calculus of variations. The locally compact case. II. Zbl 0704.49004
Lions, P.-L.
1984
Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248
Cabré, Xavier; Sire, Yannick
2014
On nonhomogeneous elliptic equations involving critical Sobolev exponent. Zbl 0785.35046
Tarantello, G.
1992
Multi-peak bound states for nonlinear Schrödinger equations. Zbl 0901.35023
Del Pino, Manuel; Felmer, Patricio L.
1998
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results. Zbl 0911.35009
Damascelli, Lucio
1998
Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023
Fernández-Cara, Enrique; Zuazua, Enrique
2000
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
1992
The global Cauchy problem for the nonlinear Schrödinger equation revisited. Zbl 0586.35042
Ginibre, J.; Velo, G.
1985
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1351.35239
Winkler, Michael
2016
Construction of the Leray-Schauder degree for elliptic operators in unbounded domains. Zbl 0835.35048
Volpert, A. I.; Volpert, V. A.
1994
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
1997
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013
Liu, Jian-Guo; Lorz, Alexander
2011
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1996
Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems. Zbl 0612.58011
Szulkin, Andrzej
1986
Local behavior of fractional $$p$$-minimizers. Zbl 1355.35192
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
2016
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
2013
Spikes in two coupled nonlinear Schrödinger equations. Zbl 1080.35143
Lin, Tai-Chia; Wei, Juncheng
2005
Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082
Gazzola, Filippo; Squassina, Marco
2006
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
Regularity criteria for the generalized viscous MHD equations. Zbl 1130.35110
Zhou, Yong
2007
On the existence of blowing-up solutions for a mean field equation. Zbl 1129.35376
Esposito, Pierpaolo; Grossi, Massimo; Pistoia, Angela
2005
On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041
Dacorogna, Bernard; Moser, Jürgen
1990
Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Zbl 0729.35014
Han, Zheng-Chao
1991
Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data. Zbl 0593.35076
Bardos, C.; Degond, P.
1985
An existence result for nonliner elliptic problems involving critical Sobolev exponent. Zbl 0612.35053
Capozzi, A.; Fortunato, D.; Palmieri, G.
1985
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term. Zbl 1187.35231
Azzollini, A.; d’Avenia, P.; Pomponio, A.
2010
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
1993
Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1184.35055
Gal, Ciprian G.; Grasselli, Maurizio
2010
Nondegeneracy of blow-up points for the parabolic Keller-Segel system. Zbl 1302.35075
Mizoguchi, Noriko; Souplet, Philippe
2014
Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations. Zbl 0877.35042
Marcus, M.; Véron, L.
1997
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
A critical fractional equation with concave-convex power nonlinearities. Zbl 1350.49009
Barrios, B.; Colorado, E.; Servadei, R.; Soria, F.
2015
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
2014
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
Existence results for mean field equations. Zbl 0937.35055
Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang
1999
On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139
Buslaev, Vladimir S.; Sulem, Catherine
2003
Propriétés des matrices “bien localisées” près de leur diagonale et quelques applications. (Properties of matrices “well localized” near the diagonal and some applications). Zbl 0722.15004
Jaffard, S.
1990
On a superlinear elliptic equation. Zbl 0733.35043
Wang, Zhi Qiang
1991
On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009
Marcellini, Paolo
1986
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
2004
Well-posedness and scattering for the KP-II equation in a critical space. Zbl 1169.35372
Hadac, Martin; Herr, Sebastian; Koch, Herbert
2009
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
2001
Periodic solutions of Hamiltonian systems of 3-body type. Zbl 0745.34034
Bahri, A.; Rabinowitz, P. H.
1991
Ground states of nonlinear Schrödinger equations with potentials. Zbl 1111.35079
Li, Yongqing; Wang, Zhi-Qiang; Zeng, Jing
2006
Critère d’existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations). Zbl 0599.35073
Baras, Pierre; Pierre, Michel
1985
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
1997
Periodic and heteroclinic orbits for a periodic Hamiltonian system. Zbl 0701.58023
Rabinowitz, Paul H.
1989
Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020
Gui, Changfeng; Wei, Juncheng; Winter, Matthias
2000
Fractional elliptic equations, Caccioppoli estimates and regularity. Zbl 1381.35211
Caffarelli, Luis A.; Stinga, Pablo Raúl
2016
$$L^ p$$ regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
1991
Critical points of embeddings of $$H_ 0^{1,n}$$ into Orlicz spaces. Zbl 0664.35022
Struwe, Michael
1988
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
1988
Nehari’s problem and competing species systems. Zbl 1090.35076
Conti, M.; Terracini, S.; Verzini, G.
2002
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
2004
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
1986
Remarks on the large time behaviour of a nonlinear diffusion equation. Zbl 0653.35036
Kavian, Otared
1987
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
1989
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
2003
Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents. Zbl 0568.35039
Cerami, Giovanna; Fortunato, Donato; Struwe, Michael
1984
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031
Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique
2008
On self-similarity and stationary problem for fragmentation and coagulation models. Zbl 1130.35025
Escobedo, M.; Mischler, S.; Rodriguez Ricard, M.
2005
On the spatially homogeneous Boltzmann equation. Zbl 0946.35075
Mischler, Stéphane; Wennberg, Bernst
1999
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
1989
Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids. Zbl 0702.49009
Baldo, Sisto
1990
Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017
Zuazua, E.
1993
Ljusternik-Schnirelmann theory on $$C^ 1$$-manifolds. Zbl 0661.58009
Szulkin, Andrzej
1988
Blow-up behaviour of one-dimensional semilinear parabolic equations. Zbl 0813.35007
Herrero, M. A.; Velázquez, J. J. L.
1993
Topological solutions in the self-dual Chern-Simons theory: Existence and approximation. Zbl 0836.35007
Spruck, Joel; Yang, Yisong
1995
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. Zbl 1288.35456
Liang, Zhanping; Li, Fuyi; Shi, Junping
2014
Looking for the Bernoulli shift. Zbl 0803.58013
Séré, Éric
1993
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043
Ambrosetti, Antonio; Badiale, Marino
1998
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033
Bandle, Catherine; Marcus, Moshe
1995
Comparison results for elliptic and parabolic equations via Schwarz symmetrization. Zbl 0703.35007
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
1990
$$\Gamma$$-convergence for nonlocal phase transitions. Zbl 1253.49008
Savin, Ovidiu; Valdinoci, Enrico
2012
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
2009
Incompressible, inviscid limit of the compressible Navier-Stokes system. Zbl 0991.35058
2001
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
1986
On the Liouville property for fully nonlinear equations. Zbl 0956.35035
Cutrì, Alessandra; Leoni, Fabiana
2000
Variational problems on classes of rearrangements and multiple configurations for steady vortices. Zbl 0677.49005
Burton, G. R.
1989
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
2008
Finite dimensional behavior for weakly damped driven Schrödinger equations. Zbl 0659.35019
Ghidaglia, Jean-Michel
1988
On the Hénon equation: asymptotic profile of ground states. I. Zbl 1114.35071
Byeon, Jaeyoung; Wang, Zhi-Qiang
2006
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
1997
Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007
Coville, Jérôme; Dávila, Juan; Martínez, Salomé
2013
Second order parabolic systems, optimal regularity, and singular sets of solutions. Zbl 1099.35042
Duzaar, Frank; Mingione, Giuseppe
2005
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
1994
The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008
Craig, Walter; Schanz, Ulrich; Sulem, Catherine
1997
Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002
Alvarez, Olivier; Tourin, Agnès
1996
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
1984
Minimal solutions of variational problems on a torus. Zbl 0609.49029
Moser, Jürgen
1986
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle. Zbl 0935.35049
Damascelli, Lucio; Grossi, Massimo; Pacella, Filomena
1999
Wellposedness and stability results for the Navier-Stokes equations in $$\mathbb R^3$$. Zbl 1165.35038
Chemin, Jean-Yves; Gallagher, Isabelle
2009
Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials. Zbl 1341.35053
Guo, Yujin; Zeng, Xiaoyu; Zhou, Huan-Song
2016
Quasi-minima. Zbl 0541.49008
Giaquinta, Mariano; Giusti, Enrico
1984
Strong solutions for a compressible fluid model of Korteweg type. Zbl 1141.76053
Kotschote, Matthias
2008
Mountain pass theorems and global homeomorphism theorems. Zbl 0834.58007
Katriel, Guy
1994
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2001
Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D. Zbl 1458.35373
Kinoshita, Shinya
2021
Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2021
Conserved quantities and Hamiltonization of nonholonomic systems. Zbl 07335687
Balseiro, Paula; Yapu, Luis P.
2021
Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. Zbl 1466.35282
Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles
2021
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026
LeFloch, Philippe G.; Wei, Changhua
2021
Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities. Zbl 1465.35396
Jin, Tianling; Xiong, Jingang
2021
Local limit of nonlocal traffic models: convergence results and total variation blow-up. Zbl 1473.35360
Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V.
2021
Navier-Stokes equation in super-critical spaces $$E_{p,q}^s$$. Zbl 1464.35177
Feichtinger, Hans G.; Gröchenig, Karlheinz; Li, Kuijie; Wang, Baoxiang
2021
Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition. Zbl 1470.35115
Peng, Rui; Wu, Chang-Hong; Zhou, Maolin
2021
On the spectral characterization of Besse and Zoll Reeb flows. Zbl 1475.53086
Ginzburg, Viktor L.; Gürel, Başak Z.; Mazzucchelli, Marco
2021
On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities. Zbl 1464.35179
Frigeri, Sergio
2021
Existence of multi-solitons for the focusing logarithmic non-linear Schrödinger equation. Zbl 1464.35319
Ferriere, Guillaume
2021
Entropy theory for sectional hyperbolic flows. Zbl 1478.37031
José Pacifico, Maria; Yang, Fan; Yang, Jiagang
2021
A game of alignment: collective behavior of multi-species. Zbl 1466.92146
He, Siming; Tadmor, Eitan
2021
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system. Zbl 07411896
Feireisl, Eduard; Novotný, Antonín
2021
Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary. Zbl 1475.35050
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2021
The influence of Einstein’s effective viscosity on sedimentation at very small particle volume fraction. Zbl 07411902
Höfer, Richard M.; Schubert, Richard
2021
Collapsing and the convex hull property in a soap film capillarity model. Zbl 1475.49046
King, Darren; Maggi, Francesco; Stuvard, Salvatore
2021
Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials. Zbl 07411905
Fournier, Nicolas; Heydecker, Daniel
2021
Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Zbl 1458.35375
Linares, F.; Pastor, A.; Drumond Silva, J.
2021
Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2021
Relaxed Euler systems and convergence to Navier-Stokes equations. Zbl 1458.35319
Peng, Yue-Jun
2021
On isolated singularities of fractional semi-linear elliptic equations. Zbl 1458.35462
Yang, Hui; Zou, Wenming
2021
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2021
Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form. Zbl 1470.49069
Trey, Baptiste
2021
Nontrivial solutions to Serrin’s problem in annular domains. Zbl 1462.35211
Kamburov, Nikola; Sciaraffia, Luciano
2021
Entropy formula and continuity of entropy for piecewise expanding maps. Zbl 1466.37002
Alves, José F.; Pumariño, Antonio
2021
Asymptotic expansions in time for rotating incompressible viscous fluids. Zbl 1464.35182
Hoang, Luan T.; Titi, Edriss S.
2021
Almost periodic invariant tori for the NLS on the circle. Zbl 1462.35024
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela
2021
The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability. Zbl 1467.37061
Gassot, Louise
2021
Semilinear problems with right-hand sides singular at $$u=0$$ which change sign. Zbl 1466.35111
Casado-Díaz, Juan; Murat, François
2021
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers. Zbl 1466.92162
Xiao, Dongyuan; Mori, Ryunosuke
2021
Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system. Zbl 1465.76114
Rousset, Frédéric; Sun, Changzhen
2021
Global classical solutions to quadratic systems with mass control in arbitrary dimensions. Zbl 1433.35167
Fellner, Klemens; Morgan, Jeff; Tang, Bao Quoc
2020
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
2020
Lipschitz regularity for viscous Hamilton-Jacobi equations with $$L^p$$ terms. Zbl 1440.35036
Cirant, Marco; Goffi, Alessandro
2020
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces. Zbl 1440.35322
Carrillo, José A.; Choi, Young-Pil
2020
Convex integration solutions to the transport equation with full dimensional concentration. Zbl 1458.35363
Modena, Stefano; Sattig, Gabriel
2020
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005
D&rsquo;Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta
2020
The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093
Muñoz, Claudio; Uhlmann, Gunther
2020
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium. Zbl 1459.76053
Gancedo, Francisco; Granero-Belinchón, Rafael; Scrobogna, Stefano
2020
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics. Zbl 1467.45017
Davoli, Elisa; Ranetbauer, Helene; Scarpa, Luca; Trussardi, Lara
2020
Fokker-Planck equations of jumping particles and mean field games of impulse control. Zbl 1456.49030
Bertucci, Charles
2020
A higher speed type II blowup for the five dimensional energy critical heat equation. Zbl 1433.35007
2020
Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators. Zbl 1439.82037
Lods, B.; Mokhtar-Kharroubi, M.; Rudnicki, R.
2020
Fractional Piola identity and polyconvexity in fractional spaces. Zbl 1442.35445
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2020
Recurrence for the wind-tree model. Zbl 1436.37006
Avila, A.; Hubert, P.
2020
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
2020
The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018
De Philippis, G.; Pratelli, A.
2020
Well-posedness issues on the periodic modified Kawahara equation. Zbl 1435.35336
Kwak, Chulkwang
2020
The energy-critical nonlinear wave equation with an inverse-square potential. Zbl 1433.35199
Miao, Changxing; Murphy, Jason; Zheng, Jiqiang
2020
Dissipative measure-valued solutions for general conservation laws. Zbl 1447.35209
Gwiazda, Piotr; Kreml, Ondřej; Świerczewska-Gwiazda, Agnieszka
2020
Thin film liquid crystals with oblique anchoring and boojums. Zbl 1446.76066
Alama, Stan; Bronsard, Lia; Golovaty, Dmitry
2020
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data. Zbl 1454.35222
Ishige, Kazuhiro; Kawakami, Tatsuki; Okabe, Shinya
2020
Statistical stability of mostly expanding diffeomorphisms. Zbl 1477.37041
Andersson, Martin; Vásquez, Carlos H.
2020
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit. Zbl 1436.49015
Craig, Katy; Topaloglu, Ihsan
2020
Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation. Zbl 1441.35255
Iwabuchi, Tsukasa
2020
Short time existence of the classical solution to the fractional mean curvature flow. Zbl 07208003
Julin, Vesa; La Manna, Domenico Angelo
2020
How a minimal surface leaves a thin obstacle. Zbl 1461.35250
Focardi, Matteo; Spadaro, Emanuele
2020
Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109
Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M.
2020
Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations. Zbl 1435.35069
Zhang, Zhifei; Zi, Ruizhao
2020
A counterexample to the Liouville property of some nonlocal problems. Zbl 1439.35107
Brasseur, Julien; Coville, Jérôme
2020
Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface. Zbl 1442.35555
Brauner, Claude-Michel; Lorenzi, Luca; Zhang, Mingmin
2020
Nondivergence form quasilinear heat equations driven by space-time white noise. Zbl 1446.60051
Gerencsér, Máté
2020
Unique continuation principles in cones under nonzero Neumann boundary conditions. Zbl 1479.35287
Dipierro, Serena; Felli, Veronica; Valdinoci, Enrico
2020
Exact controllability of semilinear heat equations in spaces of analytic functions. Zbl 1448.93030
Laurent, Camille; Rosier, Lionel
2020
Anisotropic nonlocal diffusion equations with singular forcing. Zbl 1454.35411
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2020
Global existence of weak solutions for the anisotropic compressible Stokes system. Zbl 1456.35160
Bresch, Didier; Burtea, C.
2020
Local solutions of the Landau equation with rough, slowly decaying initial data. Zbl 1455.35214
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
2020
Nonlinear instability in Vlasov type equations around rough velocity profiles. Zbl 1441.35234
2020
On the bilinear control of the Gross-Pitaevskii equation. Zbl 1437.35681
Chambrion, Thomas; Thomann, Laurent
2020
Well-posedness of semilinear heat equations in $$L^1$$. Zbl 1442.35220
Laister, Robert; Sierżęga, M.
2020
Symbolic dynamics for one dimensional maps with nonuniform expansion. Zbl 1455.37012
Lima, Yuri
2020
Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
2019
Fluctuations of $$N$$-particle quantum dynamics around the nonlinear Schrödinger equation. Zbl 1419.81042
Brennecke, Christian; Phan Thành Nam; Napiórkowski, Marcin; Schlein, Benjamin
2019
On Whitham’s conjecture of a highest cusped wave for a nonlocal dispersive equation. Zbl 1423.35059
Ehrnström, Mats; Wahlén, Erik
2019
Local well-posedness for quasi-linear NLS with large Cauchy data on the circle. Zbl 1430.35207
Feola, R.; Iandoli, F.
2019
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Zbl 1428.35611
Winkler, Michael
2019
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
2019
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Zbl 1411.49026
Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico
2019
Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes. Zbl 1437.35041
Giunti, Arianna; Höfer, Richard M.
2019
Existence of local strong solutions to fluid-beam and fluid-rod interaction systems. Zbl 1428.35291
Grandmont, Céline; Hillairet, Matthieu; Lequeurre, Julien
2019
Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev’s phenomenon. Zbl 1419.35092
Chlebicka, Iwona; Gwiazda, Piotr; Zatorska-Goldstein, Anna
2019
Spreading in space-time periodic media governed by a monostable equation with free boundaries. II: Spreading speed. Zbl 1421.35191
Ding, Weiwei; Du, Yihong; Liang, Xing
2019
Discrete stochastic approximations of the Mumford-Shah functional. Zbl 1417.49041
Ruf, Matthias
2019
Geometric aspects of $$p$$-capacitary potentials. Zbl 1422.35091
Fogagnolo, Mattia; Mazzieri, Lorenzo; Pinamonti, Andrea
2019
Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. Zbl 1410.35196
Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo
2019
Hessian estimates for convex solutions to quadratic Hessian equation. Zbl 1423.35107
McGonagle, Matt; Song, Chong; Yuan, Yu
2019
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations. Zbl 1428.35073
Taniguchi, Masaharu
2019
Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space. Zbl 1420.35163
Muñoz, Claudio; Palacios, José M.
2019
$$\Gamma$$-convergence of free-discontinuity problems. Zbl 1417.49010
Cagnetti, Filippo; Dal Maso, Gianni; Scardia, Lucia; Zeppieri, Caterina Ida
2019
Taylor expansions of the value function associated with a bilinear optimal control problem. Zbl 1420.49005
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
2019
Harnack’s inequality for parabolic nonlocal equations. Zbl 1421.35190
Strömqvist, Martin
2019
Extremizers for Fourier restriction on hyperboloids. Zbl 1406.42011
Carneiro, Emanuel; Oliveira e Silva, Diogo; Sousa, Mateus
2019
On the splash singularity for the free-surface of a Navier-Stokes fluid. Zbl 1442.76042
Coutand, Daniel; Shkoller, Steve
2019
Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Zbl 1406.35042
Fan, Lili; Ruan, Lizhi; Xiang, Wei
2019
On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions. Zbl 1421.35311
Selberg, Sigmund
2019
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary. Zbl 1416.53060
Jost, Jürgen; Liu, Lei; Zhu, Miaomiao
2019
Regularity of solutions to scalar conservation laws with a force. Zbl 1447.35219
Gess, Benjamin; Lamy, Xavier
2019
...and 1366 more Documents
all top 5

### Cited by 13,654 Authors

 153 Wei, Juncheng 82 Alves, Claudianor Oliveira 81 Tang, Xianhua 75 Rădulescu, Vicenţiu D. 70 Valdinoci, Enrico 69 Zou, Wenming 67 Lin, Chang-Shou 66 Papageorgiou, Nikolaos S. 63 Wang, Zhi-Qiang 61 Pistoia, Angela 60 Wu, Tsungfang 57 Miyagaki, Olimpio Hiroshi 55 Winkler, Michael 53 Terracini, Susanna 51 Li, Wan-Tong 51 Mingione, Giuseppe 49 Figueiredo, Giovany Malcher 47 Peng, Shuangjie 47 Quaas, Alexander 46 Feireisl, Eduard 46 Guo, Boling 45 Cao, Daomin 45 Musso, Monica 45 Yan, Shusen 44 Del Pino, Manuel A. 44 Hamel, François 44 Rossi, Julio Daniel 44 Yang, Minbo 43 Guo, Yuxia 42 Ambrosio, Vincenzo 42 Squassina, Marco 41 Do Ó, João M. Bezerra 41 Wang, Jun 40 Felmer, Patricio L. 39 Ding, Yanheng 39 Perthame, Benoît 39 Tan, Zhong 39 Vazquez, Juan Luis 38 Zaslavski, Alexander Yakovlevich 37 Grossi, Massimo 37 Van Schaftingen, Jean 36 Zhan, Huashui 36 Zuazua, Enrique 35 Byun, Sun-Sig 35 Liu, Zuhan 35 Ozawa, Tohru 35 Velázquez, Juan J. L. 34 Helffer, Bernard 34 Mu, Chunlai 34 Shen, Wenxian 34 Weth, Tobias 33 Cianchi, Andrea 33 Dipierro, Serena 33 Sire, Yannick 33 Tang, Zhongwei 32 Bartsch, Thomas J. 32 Carrillo de la Plata, José Antonio 32 Fan, Jishan 32 Lions, Pierre-Louis 32 Malchiodi, Andrea 32 Tachim Medjo, Theodore 32 Zaag, Hatem 31 Benci, Vieri 31 Hayashi, Nakao 31 Souplet, Philippe 31 Zhang, Fubao 31 Zhou, Yong 30 Barles, Guy 30 Bonheure, Denis 30 Komech, Alexander Ilich 30 Lee, Youngae 30 Pacella, Filomena 30 Saut, Jean-Claude 30 Vasseur, Alexis F. 30 Yang, Jianfu 30 Zhang, Zhitao 29 Clapp, Mónica 29 Du, Yihong 29 Duzaar, Frank 29 García-Melián, Jorge 29 Jeanjean, Louis 29 Pucci, Patrizia 29 Sreenadh, Konijeti 29 Trélat, Emmanuel 28 Bartolucci, Daniele 28 Cingolani, Silvia 28 Fonseca, Irene 28 Fusco, Nicola 28 Ishii, Hitoshi 28 Li, Gongbao 28 Long, Yiming 28 Molle, Riccardo 28 Novaga, Matteo 28 Novotný, Antonín 28 Tanaka, Kazunaga 28 Tzvetkov, Nikolay 27 Byeon, Jaeyoung 27 Chtioui, Hichem 27 Hsu, TsingSan 27 Kopylova, Elena A. ...and 13,554 more Authors
all top 5

### Cited in 651 Journals

 1,603 Journal of Differential Equations 1,152 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,093 Journal of Mathematical Analysis and Applications 760 Calculus of Variations and Partial Differential Equations 639 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 607 Archive for Rational Mechanics and Analysis 491 Journal of Functional Analysis 446 Discrete and Continuous Dynamical Systems 342 Journal de Mathématiques Pures et Appliquées. Neuvième Série 340 Communications in Mathematical Physics 305 Communications in Partial Differential Equations 300 Communications on Pure and Applied Analysis 293 Transactions of the American Mathematical Society 290 SIAM Journal on Mathematical Analysis 267 Journal of Mathematical Physics 260 ZAMP. Zeitschrift für angewandte Mathematik und Physik 242 NoDEA. Nonlinear Differential Equations and Applications 240 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 224 Annali di Matematica Pura ed Applicata. Serie Quarta 224 Nonlinear Analysis. Real World Applications 217 Proceedings of the American Mathematical Society 216 Advances in Mathematics 209 Communications in Contemporary Mathematics 188 Nonlinear Analysis. Theory, Methods & Applications 187 Comptes Rendus. Mathématique. Académie des Sciences, Paris 176 Nonlinearity 175 Applied Mathematics Letters 171 Boundary Value Problems 159 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 156 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 150 Advanced Nonlinear Studies 144 Applicable Analysis 144 Mathematische Annalen 138 Discrete and Continuous Dynamical Systems. Series B 137 Physica D 132 Journal of Mathematical Fluid Mechanics 130 The Journal of Geometric Analysis 129 Mathematical Methods in the Applied Sciences 113 Computers & Mathematics with Applications 111 Manuscripta Mathematica 108 Journal of Dynamics and Differential Equations 108 Journal of Evolution Equations 106 Complex Variables and Elliptic Equations 104 Advances in Nonlinear Analysis 103 SIAM Journal on Control and Optimization 99 Journal of Computational Physics 99 Journal of Statistical Physics 98 Applied Mathematics and Optimization 96 Applied Mathematics and Computation 92 Duke Mathematical Journal 88 Mathematische Zeitschrift 88 Acta Applicandae Mathematicae 87 Journal of the European Mathematical Society (JEMS) 87 Acta Mathematica Sinica. English Series 87 Discrete and Continuous Dynamical Systems. Series S 80 Journal of Mathematical Sciences (New York) 80 Science China. Mathematics 78 Communications on Pure and Applied Mathematics 77 Journal of Fixed Point Theory and Applications 76 Journal d’Analyse Mathématique 75 Journal of Nonlinear Science 74 Ergodic Theory and Dynamical Systems 72 Journal of Optimization Theory and Applications 72 Abstract and Applied Analysis 71 Inventiones Mathematicae 62 Chinese Annals of Mathematics. Series B 62 Revista Matemática Iberoamericana 62 Annales Henri Poincaré 62 Kinetic and Related Models 59 Topological Methods in Nonlinear Analysis 59 Journal of Dynamical and Control Systems 59 Mediterranean Journal of Mathematics 56 Potential Analysis 55 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 54 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 51 Séminaire Laurent Schwartz. EDP et Applications 49 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 48 Milan Journal of Mathematics 48 Advances in Calculus of Variations 46 Journal of Computational and Applied Mathematics 44 Rocky Mountain Journal of Mathematics 44 Journal of Hyperbolic Differential Equations 43 Mathematische Nachrichten 42 SN Partial Differential Equations and Applications 41 Stochastic Processes and their Applications 41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 41 Analysis & PDE 40 Zeitschrift für Analysis und ihre Anwendungen 40 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 40 Mathematical Control and Related Fields 39 Monatshefte für Mathematik 39 Numerische Mathematik 39 Quarterly of Applied Mathematics 39 Acta Mathematicae Applicatae Sinica. English Series 39 Applied and Computational Harmonic Analysis 39 The Journal of Fourier Analysis and Applications 39 Journal of Elliptic and Parabolic Equations 38 Journal of Scientific Computing 38 Bulletin des Sciences Mathématiques 37 Journal of Inequalities and Applications ...and 551 more Journals
all top 5

### Cited in 62 Fields

 16,057 Partial differential equations (35-XX) 2,664 Fluid mechanics (76-XX) 2,544 Calculus of variations and optimal control; optimization (49-XX) 1,880 Dynamical systems and ergodic theory (37-XX) 1,675 Global analysis, analysis on manifolds (58-XX) 1,127 Differential geometry (53-XX) 1,052 Operator theory (47-XX) 983 Ordinary differential equations (34-XX) 911 Statistical mechanics, structure of matter (82-XX) 901 Biology and other natural sciences (92-XX) 836 Functional analysis (46-XX) 813 Numerical analysis (65-XX) 808 Mechanics of deformable solids (74-XX) 794 Systems theory; control (93-XX) 694 Probability theory and stochastic processes (60-XX) 649 Quantum theory (81-XX) 532 Real functions (26-XX) 404 Mechanics of particles and systems (70-XX) 358 Integral equations (45-XX) 339 Harmonic analysis on Euclidean spaces (42-XX) 292 Optics, electromagnetic theory (78-XX) 264 Operations research, mathematical programming (90-XX) 210 Potential theory (31-XX) 208 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 188 Measure and integration (28-XX) 169 Functions of a complex variable (30-XX) 165 Classical thermodynamics, heat transfer (80-XX) 138 Convex and discrete geometry (52-XX) 111 Manifolds and cell complexes (57-XX) 106 Several complex variables and analytic spaces (32-XX) 101 Geophysics (86-XX) 87 Relativity and gravitational theory (83-XX) 73 Topological groups, Lie groups (22-XX) 66 Difference and functional equations (39-XX) 65 General topology (54-XX) 65 Astronomy and astrophysics (85-XX) 64 Information and communication theory, circuits (94-XX) 63 Approximations and expansions (41-XX) 51 Computer science (68-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 40 Algebraic topology (55-XX) 36 Algebraic geometry (14-XX) 33 Statistics (62-XX) 27 Abstract harmonic analysis (43-XX) 26 History and biography (01-XX) 25 Integral transforms, operational calculus (44-XX) 23 Geometry (51-XX) 21 Special functions (33-XX) 19 General and overarching topics; collections (00-XX) 15 Number theory (11-XX) 14 Combinatorics (05-XX) 13 Nonassociative rings and algebras (17-XX) 8 Sequences, series, summability (40-XX) 7 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Mathematics education (97-XX)