zbMATH — the first resource for mathematics

Calculus of Variations and Partial Differential Equations

 Short Title: Calc. Var. Partial Differ. Equ. Publisher: Springer, Berlin/Heidelberg ISSN: 0944-2669; 1432-0835/e Online: http://link.springer.com/journal/volumesAndIssues/526 Comments: Indexed cover-to-cover
 Documents Indexed: 2,574 Publications (since 1993) References Indexed: 2,246 Publications with 62,953 References.
all top 5

Latest Issues

 60, No. 6 (2021) 60, No. 5 (2021) 60, No. 4 (2021) 60, No. 3 (2021) 60, No. 2 (2021) 60, No. 1 (2021) 59, No. 6 (2020) 59, No. 5 (2020) 59, No. 4 (2020) 59, No. 3 (2020) 59, No. 2 (2020) 59, No. 1 (2020) 58, No. 6 (2019) 58, No. 5 (2019) 58, No. 4 (2019) 58, No. 3 (2019) 58, No. 2 (2019) 58, No. 1 (2019) 57, No. 6 (2018) 57, No. 5 (2018) 57, No. 4 (2018) 57, No. 3 (2018) 57, No. 2 (2018) 57, No. 1 (2018) 56, No. 6 (2017) 56, No. 5 (2017) 56, No. 4 (2017) 56, No. 3 (2017) 56, No. 2 (2017) 56, No. 1 (2017) 55, No. 6 (2016) 55, No. 5 (2016) 55, No. 4 (2016) 55, No. 3 (2016) 55, No. 2 (2016) 55, No. 1 (2016) 54, No. 4 (2015) 54, No. 3 (2015) 54, No. 2 (2015) 54, No. 1 (2015) 53, No. 3-4 (2015) 53, No. 1-2 (2015) 52, No. 3-4 (2015) 52, No. 1-2 (2015) 51, No. 3-4 (2014) 51, No. 1-2 (2014) 50, No. 3-4 (2014) 50, No. 1-2 (2014) 49, No. 3-4 (2014) 49, No. 1-2 (2014) 48, No. 3-4 (2013) 48, No. 1-2 (2013) 47, No. 3-4 (2013) 47, No. 1-2 (2013) 46, No. 3-4 (2013) 46, No. 1-2 (2013) 45, No. 3-4 (2012) 45, No. 1-2 (2012) 44, No. 3-4 (2012) 44, No. 1-2 (2012) 43, No. 3-4 (2012) 43, No. 1-2 (2012) 42, No. 3-4 (2011) 42, No. 1-2 (2011) 41, No. 3-4 (2011) 41, No. 1-2 (2011) 40, No. 3-4 (2011) 40, No. 1-2 (2011) 39, No. 3-4 (2010) 39, No. 1-2 (2010) 38, No. 3-4 (2010) 38, No. 1-2 (2010) 37, No. 3-4 (2010) 37, No. 1-2 (2010) 36, No. 4 (2009) 36, No. 3 (2009) 36, No. 2 (2009) 36, No. 1 (2009) 35, No. 4 (2009) 35, No. 3 (2009) 35, No. 2 (2009) 35, No. 1 (2009) 34, No. 4 (2009) 34, No. 3 (2009) 34, No. 2 (2009) 34, No. 1 (2009) 33, No. 4 (2008) 33, No. 3 (2008) 33, No. 2 (2008) 33, No. 1 (2008) 32, No. 4 (2008) 32, No. 3 (2008) 32, No. 2 (2008) 32, No. 1 (2008) 31, No. 4 (2008) 31, No. 3 (2008) 31, No. 2 (2008) 31, No. 1 (2008) 30, No. 4 (2007) 30, No. 3 (2007) ...and 120 more Volumes
all top 5

Authors

 30 Wei, Juncheng 24 Jost, Jürgen 14 Li, Jiayu 14 Müller, Stefan 14 Wang, Changyou 13 Wang, Zhi-Qiang 11 Byun, Sun-Sig 11 Zhu, Miaomiao 10 Farina, Alberto 10 Fonseca, Irene 10 Hong, Minchun 10 Otto, Felix 10 Smoczyk, Knut 10 Valdinoci, Enrico 9 Dal Maso, Gianni 9 Lu, Guozhen 9 Pistoia, Angela 9 Vazquez, Juan Luis 9 Yan, Shusen 8 Del Pino, Manuel A. 8 Dong, Hongjie 8 Fusco, Nicola 8 Li, YanYan 8 Novaga, Matteo 8 Rabinowitz, Paul Henry 8 Terracini, Susanna 8 Topping, Peter Miles 8 Wang, Guofang 7 Byeon, Jaeyoung 7 Cao, Daomin 7 Cheng, Qingming 7 Conti, Sergio 7 Ding, Yanheng 7 Evans, Lawrence Craig 7 Felmer, Patricio L. 7 Fuchs, Martin 7 Ghoussoub, Nassif A. 7 Grossi, Massimo 7 Lin, Chang-Shou 7 Lin, Fang Hua 7 Mora, Maria Giovanna 7 Passaseo, Donato 7 Piccione, Paolo 7 Rădulescu, Vicenţiu D. 7 Sandier, Etienne 7 Squassina, Marco 7 Tonegawa, Yoshihiro 7 Véron, Laurent 7 von der Mosel, Heiko 7 Xin, Yuanlong 7 Yang, Yunyan 7 Zou, Wenming 6 Alves, Claudianor Oliveira 6 Ambrosio, Luigi 6 Bartsch, Thomas J. 6 Braides, Andrea 6 Clapp, Mónica 6 Dacorogna, Bernard 6 Do Ó, João M. Bezerra 6 Du, Yihong 6 Duzaar, Frank 6 Figalli, Alessio 6 Finster, Felix 6 Frank, Rupert L. 6 Garroni, Adriana 6 Gazzola, Filippo 6 Giaquinta, Mariano 6 Guo, Zongming 6 Hebey, Emmanuel 6 Hildebrandt, Stefan 6 Jeanjean, Louis 6 Kristensen, Jan 6 Mielke, Alexander 6 Montecchiari, Piero 6 Musso, Monica 6 Palmer, Bennett 6 Papageorgiou, Nikolaos S. 6 Peng, Shuangjie 6 Tanaka, Kazunaga 6 Van Schaftingen, Jean 6 Xiong, Jingang 6 Ye, Dong 5 Andrews, Ben 5 Ball, John M. 5 Bidaut-Veron, Marie-Françoise 5 Bildhauer, Michael 5 Bonheure, Denis 5 Bucur, Dorin 5 Bulíček, Miroslav 5 Buttazzo, Giuseppe 5 Cannarsa, Piermarco 5 Carrillo de la Plata, José Antonio 5 Casado-Díaz, Juan 5 Castéras, Jean-baptiste 5 Cerami, Giovanna 5 Fall, Mouhamed Moustapha 5 González, María del Mar 5 Grunau, Hans-Christoph 5 Gui, Changfeng 5 Guo, Yuxia ...and 2,768 more Authors
all top 5

Fields

 1,667 Partial differential equations (35-XX) 725 Calculus of variations and optimal control; optimization (49-XX) 642 Differential geometry (53-XX) 508 Global analysis, analysis on manifolds (58-XX) 147 Mechanics of deformable solids (74-XX) 121 Functional analysis (46-XX) 106 Real functions (26-XX) 101 Operator theory (47-XX) 95 Fluid mechanics (76-XX) 82 Dynamical systems and ergodic theory (37-XX) 67 Ordinary differential equations (34-XX) 66 Potential theory (31-XX) 64 Statistical mechanics, structure of matter (82-XX) 63 Measure and integration (28-XX) 58 Convex and discrete geometry (52-XX) 52 Several complex variables and analytic spaces (32-XX) 46 Quantum theory (81-XX) 46 Biology and other natural sciences (92-XX) 45 Probability theory and stochastic processes (60-XX) 38 Functions of a complex variable (30-XX) 23 Mechanics of particles and systems (70-XX) 22 Manifolds and cell complexes (57-XX) 22 Numerical analysis (65-XX) 22 Optics, electromagnetic theory (78-XX) 21 Integral equations (45-XX) 20 Relativity and gravitational theory (83-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Systems theory; control (93-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Operations research, mathematical programming (90-XX) 11 Combinatorics (05-XX) 11 Topological groups, Lie groups (22-XX) 9 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Geometry (51-XX) 6 Difference and functional equations (39-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Algebraic geometry (14-XX) 4 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Special functions (33-XX)

Citations contained in zbMATH Open

2,109 Publications have been cited 25,879 times in 16,158 Documents Cited by Year
Local mountain passes for semilinear elliptic problems in unbounded domains. Zbl 0844.35032
del Pino, Manuel A.; Felmer, Patricio L.
1996
On the existence of soliton solutions to quasilinear Schrödinger equations. Zbl 1052.35060
Poppenberg, Markus; Schmitt, Klaus; Wang, Zhi-Qiang
2002
Elliptic equations in $$R^ 2$$ with nonlinearities in the critical growth range. Zbl 0820.35060
de Figueiredo, D. G.; Miyagaki, O. H.; Ruf, B.
1995
Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional $$p$$-Laplacian in $$\mathbb R^N$$. Zbl 1329.35338
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
2015
Standing waves with a critical frequency for nonlinear Schrödinger equations. II. Zbl 1073.35199
Byeon, Jaeyoung; Wang, Zhi-Qiang
2003
Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014
Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric
1993
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
2014
Fractional eigenvalues. Zbl 1292.35193
Lindgren, Erik; Lindqvist, Peter
2014
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang
2010
The Brezis-Nirenberg type problem involving the square root of the Laplacian. Zbl 1248.35078
Tan, Jinggang
2011
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
2005
Ground state solutions of scalar field fractional Schrödinger equations. Zbl 1330.35495
Molica Bisci, Giovanni; Rădulescu, Vicenţiu D.
2015
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
2015
Regularity for general functionals with double phase. Zbl 1394.49034
Baroni, Paolo; Colombo, Maria; Mingione, Giuseppe
2018
On semilinear elliptic equations with indefinite nonlinearities. Zbl 0809.35022
Alama, Stanley; Tarantello, Gabriella
1993
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
Jeanjean, Louis; Tanaka, Kazunaga
2004
On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
Bahri, Abbas; Li, Yanyan; Rey, Olivier
1995
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
2001
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
Benci, Vieri; Cerami, Giovanna
1994
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
del Pino, Manuel; Felmer, Patricio; Musso, Monica
2003
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
1993
Prescribed scalar curvature on the $$n$$-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
1996
Contraction of convex hypersurfaces in Euclidean space. Zbl 0805.35048
Andrews, Ben
1994
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
Baraket, Sami; Pacard, Frank
1998
Quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1223.35290
Silva, Elves A. B.; Vieira, Gilberto F.
2010
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
2010
Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Zbl 1213.35014
Hong, Min-Chun
2011
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
2009
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials. Zbl 1376.35056
Tang, X. H.; Chen, Sitong
2017
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2009
Bound states for semilinear Schrödinger equations with sign-changing potential. Zbl 1119.35082
Ding, Yanheng; Szulkin, Andrzej
2007
The Jacobian and the Ginzburg-Landau energy. Zbl 1034.35025
Jerrard, Robert L.; Soner, Halil Mete
2002
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
2005
Evolving convex curves. Zbl 0931.53030
Andrews, Ben
1998
Partial symmetry and asymptotic behavior for some elliptic variational problems. Zbl 1274.35026
Smets, Didier; Willem, Michel
2003
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps. Zbl 0798.35139
Guo, Boling; Hong, Min-Chun
1993
Double vortex condensates in the Chern-Simons-Higgs theory. Zbl 0951.58030
Nolasco, Margherita; Tarantello, Gabriella
1999
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
2015
A new approach to Sobolev spaces and connections to $$\Gamma$$-convergence. Zbl 1352.46037
Ponce, Augusto C.
2004
On an open question about functions of bounded variation. Zbl 1047.46025
Dávila, J.
2002
Mean curvature flow singularities for mean convex surfaces. Zbl 0992.53052
Huisken, Gerhard; Sinestrari, Carlo
1999
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
2007
On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038
Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank
2008
Finsler interpolation inequalities. Zbl 1175.49044
Ohta, Shin-ichi
2009
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
2011
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
2009
Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities. Zbl 1366.35075
Cao, Xinru; Lankeit, Johannes
2016
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
1993
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle. Zbl 0812.35063
Altschuler, Steven J.; Wu, Lang F.
1994
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
2001
Implicit time discretization for the mean curvature flow equation. Zbl 0821.35003
Luckhaus, Stephan; Sturzenhecker, Thomas
1995
Mountain pass type solutions for quasilinear elliptic equations. Zbl 0959.35057
Clément, Ph.; García-Huidobro, M.; Manásevich, R.; Schmitt, K.
2000
Equilibrium maps between metric spaces. Zbl 0798.58021
Jost, Jürgen
1994
The $$p$$-harmonic approximation and the regularity of $$p$$-harmonic maps. Zbl 1142.35433
Duzaar, Frank; Mingione, Giuseppe
2004
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
1993
Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term. Zbl 1009.35055
Aassila, M.; Cavalcanti, M. M.; Domingos Cavalcanti, V. N.
2002
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in $$\mathbb {R}^3$$. Zbl 1311.35300
Wang, Zhengping; Zhou, Huan-Song
2015
Stationary layered solutions in $$\mathbb{R}^ 2$$ for an Allen-Cahn system with multiple well potential. Zbl 0883.35036
Alama, Stanley; Bronsard, Lia; Gui, Changfeng
1997
Standing waves for a class of Kirchhoff type problems in $$\mathbb R^3$$ involving critical Sobolev exponents. Zbl 1328.35046
He, Yi; Li, Gongbao
2015
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
2007
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
2003
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2009
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
2005
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
2013
Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Zbl 1194.35118
do Ó, João Marcos; Severo, Uberlandio
2010
Infinitely many positive solutions for the nonlinear Schrödinger equations in $$\mathbb R^N$$. Zbl 1189.35106
Wei, Juncheng; Yan, Shusen
2010
Local Poincaré inequalities from stable curvature conditions on metric spaces. Zbl 1250.53040
Rajala, Tapio
2012
Existence and concentration of solution for a class of fractional elliptic equation in $$\mathbb {R}^N$$ via penalization method. Zbl 1366.35212
Alves, Claudianor O.; Miyagaki, Olímpio H.
2016
Riesz potential estimates for a general class of quasilinear equations. Zbl 1318.35041
Baroni, Paolo
2015
Non radial positive solution for the Hénon equation with critical growth. Zbl 1207.35147
Serra, Enrico
2005
The extremal solution for the fractional Laplacian. Zbl 1301.35204
Ros-Oton, Xavier; Serra, Joaquim
2014
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory. Zbl 1070.49026
Hutchinson, John E.; Tonegawa, Yoshihiro
2000
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
Infinitely many bound states for some nonlinear scalar field equations. Zbl 1078.35113
Cerami, G.; Devillanova, G.; Solimini, S.
2005
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli
2017
Stability of translating solutions to mean curvature flow. Zbl 1120.53041
Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix
2007
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
1999
Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034
Evans, Lawrence C.; Smart, Charles K.
2011
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension. Zbl 1271.53064
Cao, Huai-Dong; Li, Haizhong
2013
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
1999
Convexity properties of the minimum time function. Zbl 0836.49013
Cannarsa, Piermarco; Sinestrari, Carlo
1995
Conformal metrics with prescribed mean curvature on the boundary. Zbl 0867.53034
Escobar, José F.
1996
On the Christoffel-Minkowski problem of Firey’s $$p$$-sum. Zbl 1161.35391
Hu, Changqing; Ma, Xi-Nan; Shen, Chunli
2004
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Zbl 1068.35189
Giacomini, Alessandro
2005
Multi-bump solutions for Choquard equation with deepening potential well. Zbl 1347.35097
Alves, Claudianor O.; Nóbrega, Alânnio B.; Yang, Minbo
2016
Four positive solutions for the semilinear elliptic equation: $$-\Delta u+u=a(x) u^p +f(x)$$ in $$\mathbb{R}^N$$. Zbl 0987.35039
2000
On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source. Zbl 1172.35043
Alves, Claudianor O.; Cavalcanti, Marcelo M.
2009
Symmetry and monotonicity of least energy solutions. Zbl 1226.35041
Byeon, Jaeyoung; Jeanjean, Louis; Mariş, Mihai
2009
Sharp energy estimates for nonlinear fractional diffusion equations. Zbl 1282.35399
Cabré, Xavier; Cinti, Eleonora
2014
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
2011
Ground states for quasilinear Schrödinger equations with critical growth. Zbl 1266.35025
Liu, Xiangqing; Liu, Jiaquan; Wang, Zhi-Qiang
2013
A class of integral equations and approximation of $$p$$-Laplace equations. Zbl 1198.45005
Ishii, Hitoshi; Nakamura, Gou
2010
Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Zbl 1237.35037
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo
2012
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
2010
On the existence of extremal functions for a weighted Sobolev embedding with critical exponent. Zbl 0929.35045
Caldiroli, Paolo; Musina, Roberta
1999
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
2001
Bounds for the singular set of solutions to non linear elliptic systems. Zbl 1045.35024
Mingione, Giuseppe
2003
Regularity of quasiconvex envelopes. Zbl 0972.49024
Ball, John M.; Kirchheim, Bernd; Kristensen, Jan
2000
A theory of spectral partitions of metric graphs. Zbl 1462.35222
Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio
2021
Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044
Fujie, Kentarou; Jiang, Jie
2021
Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials. Zbl 07309159
Kang, Kyungkeun; Kim, Hwa Kil; Lim, Tongseok; Seo, Geuntaek
2021
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
2021
Global higher integrability for minimisers of convex functionals with $$(p,q)$$-growth. Zbl 1461.49017
Koch, Lukas
2021
Higher integrability for variational integrals with non-standard growth. Zbl 1462.49015
Schäffner, Mathias
2021
$$\alpha$$-Dirac-harmonic maps from closed surfaces. Zbl 1465.58008
Jost, Jürgen; Zhu, Jingyong
2021
Pseudoconvexity for the special Lagrangian potential equation. Zbl 1456.35089
Harvey, F. Reese; Lawson, H. Blaine jun.
2021
A nonlocal isoperimetric problem with density perimeter. Zbl 1455.49028
Alama, Stan; Bronsard, Lia; Topaloglu, Ihsan; Zuniga, Andres
2021
A combinatorial Yamabe problem on two and three dimensional manifolds. Zbl 07309164
Ge, Huabin; Xu, Xu
2021
On renormalized solutions to elliptic inclusions with nonstandard growth. Zbl 1459.35155
Denkowska, Anna; Gwiazda, Piotr; Kalita, Piotr
2021
On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension. Zbl 1459.35156
Faraci, F.; Silva, K.
2021
Higher Hölder regularity for nonlocal equations with irregular kernel. Zbl 07309168
Nowak, Simon
2021
Local boundedness and Hölder continuity for the parabolic fractional $$p$$-Laplace equations. Zbl 1459.35053
Ding, Mengyao; Zhang, Chao; Zhou, Shulin
2021
Large conformal metrics with prescribed Gaussian and geodesic curvatures. Zbl 1459.35208
Battaglia, Luca; Medina, María; Pistoia, Angela
2021
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function. Zbl 1458.35437
Sun, Linlin; Zhu, Jingyong
2021
Complete $$\lambda$$-surfaces in $$\mathbb{R}^3$$. Zbl 1458.53011
Cheng, Qing-Ming; Wei, Guoxin
2021
The Łojasiewicz-Simon inequality for the elastic flow. Zbl 1467.53106
Mantegazza, Carlo; Pozzetta, Marco
2021
Global transversal stability of Euclidean planes under skew mean curvature flow evolutions. Zbl 1467.53101
Li, Ze
2021
A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type. Zbl 1462.35097
Palmieri, Alessandro; Tu, Ziheng
2021
Sharp patterns of positive solutions for some weighted semilinear elliptic problems. Zbl 1462.35034
Li, Wan-Tong; López-Gómez, Julián; Sun, Jian-Wen
2021
The structure of the singular set in the thin obstacle problem for degenerate parabolic equations. Zbl 07344739
Banerjee, Agnid; Danielli, Donatella; Garofalo, Nicola; Petrosyan, Arshak
2021
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas. Zbl 1462.81218
Nam, Phan Thành; Napiórkowski, Marcin
2021
On the long-time behavior of immortal Ricci flows. Zbl 1466.53104
Huang, Shaosai
2021
Noncoercive quasilinear elliptic operators with singular lower order terms. Zbl 1465.35228
Farroni, Fernando; Greco, Luigi; Moscariello, Gioconda; Zecca, Gabriella
2021
Stochastic homogenization and effective Hamiltonians of Hamilton-Jacobi equations in one space dimension: the double-well case. Zbl 1466.35019
Yilmaz, Atilla
2021
The equilibrium measure for an anisotropic nonlocal energy. Zbl 07355287
Carrillo, J. A.; Mateu, J.; Mora, M. G.; Rondi, L.; Scardia, L.; Verdera, J.
2021
Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 07355288
Maestre, Faustino; Pedregal, Pablo
2021
$$f$$-extremal domains in hyperbolic space. Zbl 1467.35224
Espinar, José M.; Farina, Alberto; Mazet, Laurent
2021
End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains. Zbl 07384298
Adimurthi, Karthik; Byun, Sun-Sig; Park, Jung-Tae
2021
Nonlinear nonhomogeneous singular problems. Zbl 1453.35069
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2020
Sparsity of solutions for variational inverse problems with finite-dimensional data. Zbl 1430.49036
Bredies, Kristian; Carioni, Marcello
2020
The Calderón problem for the fractional Schrödinger equation with drift. Zbl 1439.35563
Cekić, Mihajlo; Lin, Yi-Hsuan; Rüland, Angkana
2020
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. Zbl 1430.52001
Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping
2020
On boundedness, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop. Zbl 1443.35060
Lin, Ke; Xiang, Tian
2020
On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290
Diao, Huaian; Liu, Hongyu; Wang, Li
2020
New examples on Lavrentiev gap using fractals. Zbl 1453.35082
Balci, Anna Kh.; Diening, Lars; Surnachev, Mikhail
2020
Monotonicity formulas in potential theory. Zbl 1428.35008
Agostiniani, Virginia; Mazzieri, Lorenzo
2020
Multiplicity and concentration of solutions to the nonlinear magnetic Schrödinger equation. Zbl 1444.35064
Ji, Chao; Rădulescu, Vicenţiu D.
2020
A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049
Di Marco, Tommaso; Marcellini, Paolo
2020
Existence results for double phase implicit obstacle problems involving multivalued operators. Zbl 1453.35070
Zeng, Shengda; Bai, Yunru; Gasiński, Leszek; Winkert, Patrick
2020
Propagation phenomena for a two-species Lotka-Volterra strong competition system with nonlocal dispersal. Zbl 1430.35137
Zhang, Guo-Bao; Zhao, Xiao-Qiang
2020
Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method. Zbl 1433.35023
Alves, Claudianor O.; Ji, Chao
2020
Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions. Zbl 1432.74182
Davoli, Elisa; Friedrich, Manuel
2020
Some energy estimates for stable solutions to fractional Allen-Cahn equations. Zbl 1431.35227
Gui, Changfeng; Li, Qinfeng
2020
Continuity and canceling operators of order $$n$$ on $$\mathbb{R}^n$$. Zbl 1443.47046
Raita, Bogdan; Skorobogatova, Anna
2020
Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system. Zbl 1445.35053
Bonetti, Elena; Colli, Pierluigi; Scarpa, Luca; Tomassetti, Giuseppe
2020
Nearly optimal stability for Serrin’s problem and the soap bubble theorem. Zbl 1440.35221
Magnanini, Rolando; Poggesi, Giorgio
2020
Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007
Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander
2020
The sharp exponent in the study of the nonlocal Hénon equation in $$\mathbb{R}^N$$: a Liouville theorem and an existence result. Zbl 1439.35521
Barrios, B.; Quaas, A.
2020
Optimal control of multiagent systems in the Wasserstein space. Zbl 1436.49003
Jimenez, Chloé; Marigonda, Antonio; Quincampoix, Marc
2020
A metric Sturm-Liouville theory in two dimensions. Zbl 1431.28004
Steinerberger, Stefan
2020
A note on strong-form stability for the Sobolev inequality. Zbl 1440.46033
Neumayer, Robin
2020
Localized deformation for initial data sets with the dominant energy condition. Zbl 1443.53021
Corvino, Justin; Huang, Lan-Hsuan
2020
Minimizers of convex functionals with small degeneracy set. Zbl 1456.49029
Mooney, Connor
2020
Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent. Zbl 1437.35542
Luo, Tianwen; Titi, Edriss S.
2020
On one-dimension quasilinear wave equations with null conditions. Zbl 1441.35176
Zha, Dongbing
2020
Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator. Zbl 1442.35019
Amar, Micol; Andreucci, D.; Gianni, R.; Timofte, C.
2020
Principal curves to nonlocal Lane-Emden systems and related maximum principles. Zbl 1442.35053
Leite, Edir Junior Ferreira; Montenegro, Marcos
2020
Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities. Zbl 1445.35152
Yang, Hui
2020
Gromov-Hausdorff limit of Wasserstein spaces on point clouds. Zbl 1436.49017
García Trillos, Nicolás
2020
Uniform $$W^{1,p}$$ estimates for an elliptic operator with Robin boundary condition in a $$\mathcal{C}^1$$ domain. Zbl 1437.35228
Amrouche, C.; Conca, C.; Ghosh, A.; Ghosh, T.
2020
Relaxation of a scalar nonlocal variational problem with a double-well potential. Zbl 1436.49019
Mora-Corral, Carlos; Tellini, Andrea
2020
Uniqueness of positive solutions with concentration for the Schrödinger-Newton problem. Zbl 1436.35029
Luo, Peng; Peng, Shuangjie; Wang, Chunhua
2020
A quantitative Weinstock inequality for convex sets. Zbl 1427.35165
Gavitone, Nunzia; La Manna, Domenico Angelo; Paoli, Gloria; Trani, Leonardo
2020
Convex ancient solutions to curve shortening flow. Zbl 1446.53071
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
2020
A mass supercritical problem revisited. Zbl 1453.35087
Jeanjean, Louis; Lu, Sheng-Sen
2020
Heat kernel on Ricci shrinkers. Zbl 07294615
Li, Yu; Wang, Bing
2020
Variational problems for tree roots and branches. Zbl 1430.49042
Bressan, Alberto; Palladino, Michele; Sun, Qing
2020
Existence and non-existence of minimizers for Poincaré-Sobolev inequalities. Zbl 1430.35076
Benguria, Rafael D.; Vallejos, Cristobal; van den Bosch, Hanne
2020
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. Zbl 1430.30011
Molchanova, Anastasia; Vodopyanov, Sergey
2020
Bound states for logarithmic Schrödinger equations with potentials unbounded below. Zbl 1433.35374
Zhang, Chengxiang; Zhang, Xu
2020
Serrin’s type overdetermined problems in convex cones. Zbl 1430.35167
Ciraolo, Giulio; Roncoroni, Alberto
2020
The total variation flow in metric random walk spaces. Zbl 1436.60071
Mazón, José M.; Solera, Marcos; Toledo, Julián
2020
Global dynamics of the diffusive Lotka-Volterra competition model with stage structure. Zbl 1429.35125
Chen, Shanshan; Shi, Junping
2020
On optimal boundary control of Ericksen-Leslie system in dimension two. Zbl 1429.35176
Liu, Qiao; Wang, Changyou; Zhang, Xiaotao; Zhou, Jianfeng
2020
Sharp profiles for periodic logistic equation with nonlocal dispersal. Zbl 1432.35010
Sun, Jian-Wen
2020
Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions. Zbl 1430.35258
Mugnai, Dimitri; Pinamonti, Andrea; Vecchi, Eugenio
2020
Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $$\mathbb{R}^n$$. Zbl 1445.35180
Akman, Murat; Lewis, John; Vogel, Andrew
2020
A dihedral Bott-type iteration formula and stability of symmetric periodic orbits. Zbl 07169093
Hu, Xijun; Portaluri, Alessandro; Yang, Ran
2020
A symmetry result in $${\mathbb{R}}^2$$ for global minimizers of a general type of nonlocal energy. Zbl 07169094
Bucur, Claudia
2020
Bilinear embedding for divergence-form operators with complex coefficients on irregular domains. Zbl 1444.35089
Carbonaro, Andrea; Dragičević, Oliver
2020
Coercivity estimates for integro-differential operators. Zbl 1444.47058
Chaker, Jamil; Silvestre, Luis
2020
Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model. Zbl 1445.35046
Ni, Wenjie; Shi, Junping; Wang, Mingxin
2020
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
2020
On the density of “wild” initial data for the compressible Euler system. Zbl 1448.76126
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon
2020
Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474
Noja, Diego; Pelinovsky, Dmitry E.
2020
A derivation of Griffith functionals from discrete finite-difference models. Zbl 1455.49020
Crismale, Vito; Scilla, Giovanni; Solombrino, Francesco
2020
Symmetry of separable functions and its applications to Choquard type equations. Zbl 1437.35014
Wang, Tao; Yi, Taishan
2020
The fractional $$p$$-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. Zbl 1448.35025
Flegel, Franziska; Heida, Martin
2020
Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials. Zbl 1427.35283
Seo, Insuk; Tabrizian, Peyam
2020
Smooth solutions of the surface semi-geostrophic equations. Zbl 1431.35133
Lisai, Stefania; Wilkinson, Mark
2020
A note on the singular set of area-minimizing hypersurfaces. Zbl 1429.53012
Edelen, Nick
2020
The quadruple planar bubble enclosing equal areas is symmetric. Zbl 1431.49055
Paolini, E.; Tortorelli, V. M.
2020
Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1431.58007
Liu, Hui; Wang, Chongzhi; Zhang, Duanzhi
2020
Hessian estimate for semiconvex solutions to the sigma-2 equation. Zbl 1433.35158
Shankar, Ravi; Yuan, Yu
2020
Brakke’s inequality for the thresholding scheme. Zbl 07161205
Laux, Tim; Otto, Felix
2020
A stationary heat conduction problem in low dimensional sets in $${\mathbb{R}}^N$$. Zbl 1460.35110
Rybka, Piotr; Zatorska-Goldstein, Anna
2020
Lusternik-Schnirelman theory for the action integral of the Lorentz force equation. Zbl 1434.78006
Arcoya, David; Bereanu, Cristian; Torres, Pedro J.
2020
Exact number of single bubbling solutions for elliptic problems of Ambrosetti-Prodi type. Zbl 1436.35197
Guo, Yuxia; Li, Benniao; Yan, Shusen
2020
...and 1475 more Documents
all top 5

Cited by 9,578 Authors

 162 Wei, Juncheng 119 Tang, Xianhua 93 Alves, Claudianor Oliveira 86 Valdinoci, Enrico 79 Rădulescu, Vicenţiu D. 68 Pistoia, Angela 67 Lin, Chang-Shou 66 Wang, Zhi-Qiang 61 Zou, Wenming 58 Byun, Sun-Sig 58 Mingione, Giuseppe 57 Miyagaki, Olimpio Hiroshi 56 Figueiredo, Giovany Malcher 56 Musso, Monica 55 Papageorgiou, Nikolaos S. 55 Rossi, Julio Daniel 54 Peng, Shuangjie 53 Ambrosio, Vincenzo 53 Del Pino, Manuel A. 53 Novaga, Matteo 53 Zhang, Binlin 51 Do Ó, João M. Bezerra 51 Squassina, Marco 48 Lu, Guozhen 45 Dipierro, Serena 43 Chen, Sitong 42 Mielke, Alexander 42 Xiang, Mingqi 41 Yan, Shusen 40 Cianchi, Andrea 40 Jost, Jürgen 40 Yang, Minbo 39 Weth, Tobias 39 Wu, Tsungfang 39 Zhang, Fubao 38 Ambrosio, Luigi 38 Guo, Yuxia 38 Wang, Changyou 37 Figalli, Alessio 37 Molica Bisci, Giovanni 36 Fonseca, Irene 36 Fusco, Nicola 36 Lei, Yutian 35 Wang, Jun 34 Ding, Yanheng 34 Fragalà, Ilaria 33 Carrillo de la Plata, José Antonio 33 Conti, Sergio 33 Malchiodi, Andrea 32 Byeon, Jaeyoung 32 Chambolle, Antonin 32 Kang, Dongsheng 32 Van Schaftingen, Jean 31 Bonheure, Denis 31 Gigli, Nicola 31 Pucci, Patrizia 31 Sciunzi, Berardino 31 Stefanelli, Ulisse 30 Chen, Haibo 30 Clapp, Mónica 30 Tang, Zhongwei 30 Zhang, Jianjun 29 Bartsch, Thomas J. 29 Cao, Daomin 29 Duzaar, Frank 29 Ignat, Radu 29 Li, YanYan 29 Sreenadh, Konijeti 29 Yang, Yunyan 28 Repovš, Dušan D. 28 Sire, Yannick 28 Terracini, Susanna 28 Vazquez, Juan Luis 28 Wang, Guofang 27 Guo, Zongming 27 Katzourakis, Nikolaos I. 27 Peral Alonso, Ireneo 26 Dávila, Juan 26 Deng, Yinbin 26 Farina, Alberto 26 Gomes, Diogo Luís Aguiar 26 Nguyễn Văn Hoàng 26 Winkler, Michael 26 Zhang, Jihui 25 Dolbeault, Jean 25 Dong, Hongjie 25 Fuchs, Martin 25 Gui, Changfeng 25 Pinamonti, Andrea 25 Rivière, Tristan 25 Roubíček, Tomáš 25 Ruf, Bernhard 25 Savaré, Giuseppe 25 Yang, Jianfu 25 Zheng, Shenzhou 24 Chtioui, Hichem 24 Helffer, Bernard 24 Kristensen, Jan 24 Lee, Youngae 24 Li, Jiayu ...and 9,478 more Authors
all top 5

Cited in 564 Journals

 1,213 Calculus of Variations and Partial Differential Equations 962 Journal of Differential Equations 945 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 806 Journal of Mathematical Analysis and Applications 462 Journal of Functional Analysis 414 Archive for Rational Mechanics and Analysis 340 Discrete and Continuous Dynamical Systems 316 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 288 The Journal of Geometric Analysis 262 Advances in Mathematics 256 Proceedings of the American Mathematical Society 239 Communications on Pure and Applied Analysis 235 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 225 Transactions of the American Mathematical Society 223 Journal de Mathématiques Pures et Appliquées. Neuvième Série 218 Journal of Mathematical Physics 213 Communications in Contemporary Mathematics 205 Communications in Partial Differential Equations 205 SIAM Journal on Mathematical Analysis 205 NoDEA. Nonlinear Differential Equations and Applications 199 Annali di Matematica Pura ed Applicata. Serie Quarta 152 Advanced Nonlinear Studies 146 Mathematische Annalen 145 ZAMP. Zeitschrift für angewandte Mathematik und Physik 137 Communications in Mathematical Physics 126 Applied Mathematics Letters 122 Advances in Nonlinear Analysis 121 Manuscripta Mathematica 113 Nonlinear Analysis. Real World Applications 112 Complex Variables and Elliptic Equations 108 Mathematische Zeitschrift 108 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 105 Comptes Rendus. Mathématique. Académie des Sciences, Paris 100 Applicable Analysis 99 Boundary Value Problems 98 Science China. Mathematics 91 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 91 Potential Analysis 90 Advances in Calculus of Variations 89 Communications on Pure and Applied Mathematics 87 Annals of Global Analysis and Geometry 86 Nonlinearity 84 Computers & Mathematics with Applications 82 Discrete and Continuous Dynamical Systems. Series S 81 Journal of the European Mathematical Society (JEMS) 73 Mathematical Methods in the Applied Sciences 73 Journal für die Reine und Angewandte Mathematik 72 Acta Mathematica Sinica. English Series 69 Journal of Fixed Point Theory and Applications 68 Differential Geometry and its Applications 68 Mediterranean Journal of Mathematics 62 Abstract and Applied Analysis 62 Journal of Evolution Equations 61 Inventiones Mathematicae 56 Mathematische Nachrichten 55 Duke Mathematical Journal 55 Milan Journal of Mathematics 54 Applied Mathematics and Optimization 52 Journal of Nonlinear Science 51 Journal d’Analyse Mathématique 51 Journal of Geometry and Physics 51 Revista Matemática Iberoamericana 51 Topological Methods in Nonlinear Analysis 50 Archiv der Mathematik 50 Discrete and Continuous Dynamical Systems. Series B 47 Applied Mathematics and Computation 47 Geometriae Dedicata 47 Acta Applicandae Mathematicae 47 Journal of Mathematical Sciences (New York) 47 Electronic Journal of Differential Equations (EJDE) 46 Journal of Dynamics and Differential Equations 41 Results in Mathematics 41 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 40 International Journal of Mathematics 40 Journal of Elasticity 39 Annales Henri Poincaré 38 Chinese Annals of Mathematics. Series B 37 Monatshefte für Mathematik 36 Analysis & PDE 36 Journal of Elliptic and Parabolic Equations 35 Geometric and Functional Analysis. GAFA 34 Israel Journal of Mathematics 33 Journal of Mathematical Fluid Mechanics 33 Analysis and Geometry in Metric Spaces 32 Rocky Mountain Journal of Mathematics 32 Pacific Journal of Mathematics 31 SIAM Journal on Applied Mathematics 30 Computer Methods in Applied Mechanics and Engineering 30 Physica D 29 Frontiers of Mathematics in China 28 Indiana University Mathematics Journal 28 SIAM Journal on Control and Optimization 28 Zeitschrift für Analysis und ihre Anwendungen 28 Annales Academiae Scientiarum Fennicae. Mathematica 27 Journal of Convex Analysis 27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 27 Journal of Function Spaces 26 Journal of Optimization Theory and Applications 25 Journal of Computational Physics ...and 464 more Journals
all top 5

Cited in 59 Fields

 11,053 Partial differential equations (35-XX) 2,926 Differential geometry (53-XX) 2,921 Calculus of variations and optimal control; optimization (49-XX) 1,963 Global analysis, analysis on manifolds (58-XX) 909 Mechanics of deformable solids (74-XX) 870 Functional analysis (46-XX) 730 Operator theory (47-XX) 688 Fluid mechanics (76-XX) 613 Real functions (26-XX) 524 Statistical mechanics, structure of matter (82-XX) 514 Biology and other natural sciences (92-XX) 505 Dynamical systems and ergodic theory (37-XX) 487 Ordinary differential equations (34-XX) 435 Numerical analysis (65-XX) 376 Quantum theory (81-XX) 370 Probability theory and stochastic processes (60-XX) 315 Measure and integration (28-XX) 289 Convex and discrete geometry (52-XX) 285 Potential theory (31-XX) 242 Integral equations (45-XX) 201 Functions of a complex variable (30-XX) 195 Optics, electromagnetic theory (78-XX) 193 Several complex variables and analytic spaces (32-XX) 167 Mechanics of particles and systems (70-XX) 151 Harmonic analysis on Euclidean spaces (42-XX) 150 Operations research, mathematical programming (90-XX) 139 Systems theory; control (93-XX) 116 Relativity and gravitational theory (83-XX) 101 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Manifolds and cell complexes (57-XX) 93 Topological groups, Lie groups (22-XX) 78 Computer science (68-XX) 76 Classical thermodynamics, heat transfer (80-XX) 74 Difference and functional equations (39-XX) 74 Information and communication theory, circuits (94-XX) 60 Combinatorics (05-XX) 58 General topology (54-XX) 55 Geometry (51-XX) 45 Abstract harmonic analysis (43-XX) 40 Algebraic geometry (14-XX) 37 Algebraic topology (55-XX) 29 Approximations and expansions (41-XX) 24 Statistics (62-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Special functions (33-XX) 17 History and biography (01-XX) 17 Geophysics (86-XX) 15 General and overarching topics; collections (00-XX) 15 Astronomy and astrophysics (85-XX) 10 Nonassociative rings and algebras (17-XX) 10 Integral transforms, operational calculus (44-XX) 8 Group theory and generalizations (20-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-XX) 3 Mathematical logic and foundations (03-XX) 3 $$K$$-theory (19-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX)