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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: 2,936 Publications (since 1993)
References Indexed: 2,607 Publications with 76,363 References.
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Latest Issues

62, No. 3 (2023)
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...and 129 more Volumes
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Authors

32 Wei, Juncheng
26 Jost, Jürgen
15 Li, Jiayu
14 Byun, Sun-Sig
14 Müller, Stefan
14 Wang, Changyou
13 Wang, Zhi-Qiang
13 Zhu, Miaomiao
12 Dong, Hongjie
11 Farina, Alberto
11 Fonseca, Irene
11 Hong, Minchun
11 Smoczyk, Knut
11 Valdinoci, Enrico
10 Lu, Guozhen
10 Otto, Felix
9 Dal Maso, Gianni
9 Del Pino, Manuel A.
9 Fusco, Nicola
9 Liu, Lei
9 Peng, Shuangjie
9 Pistoia, Angela
9 Vazquez, Juan Luis
9 Yan, Shusen
9 Zou, Wenming
8 Conti, Sergio
8 Fuchs, Martin
8 Li, YanYan
8 Novaga, Matteo
8 Passaseo, Donato
8 Rabinowitz, Paul Henry
8 Rădulescu, Vicenţiu D.
8 Terracini, Susanna
8 Topping, Peter Miles
8 Véron, Laurent
8 Wang, Guofang
7 Alves, Claudianor Oliveira
7 Ambrosio, Luigi
7 Byeon, Jaeyoung
7 Cao, Daomin
7 Cheng, Qingming
7 Ding, Yanheng
7 Do Ó, João M. Bezerra
7 Du, Yihong
7 Evans, Lawrence Craig
7 Felmer, Patricio L.
7 Finster, Felix
7 Frank, Rupert L.
7 Ghoussoub, Nassif A.
7 Grossi, Massimo
7 Jeanjean, Louis
7 Lin, Chang-Shou
7 Lin, Fang Hua
7 Mora, Maria Giovanna
7 Musso, Monica
7 Palmer, Bennett
7 Piccione, Paolo
7 Sandier, Etienne
7 Squassina, Marco
7 Tanaka, Kazunaga
7 Tonegawa, Yoshihiro
7 von der Mosel, Heiko
7 Xin, Yuanlong
7 Yang, Yunyan
6 Bartsch, Thomas J.
6 Bidaut-Veron, Marie-Françoise
6 Bildhauer, Michael
6 Braides, Andrea
6 Bucur, Dorin
6 Buttazzo, Giuseppe
6 Cannarsa, Piermarco
6 Carrillo de la Plata, José Antonio
6 Clapp, Mónica
6 Dacorogna, Bernard
6 Duzaar, Frank
6 Fall, Mouhamed Moustapha
6 Figalli, Alessio
6 Garroni, Adriana
6 Gazzola, Filippo
6 Giaquinta, Mariano
6 Gui, Changfeng
6 Guo, Yuxia
6 Guo, Zongming
6 Hebey, Emmanuel
6 Hildebrandt, Stefan
6 Kristensen, Jan
6 Liu, Hui
6 Mielke, Alexander
6 Montecchiari, Piero
6 Monti, Roberto
6 Papageorgiou, Nikolaos S.
6 Peletier, Mark Adriaan
6 Quaas, Alexander
6 Ritoré, Manuel
6 Ruf, Bernhard
6 Savin, Ovidiu V.
6 Sciunzi, Berardino
6 Sun, Linlin
6 Van Schaftingen, Jean
6 Verde, Anna
...and 3,178 more Authors
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Fields

1,913 Partial differential equations (35-XX)
790 Calculus of variations and optimal control; optimization (49-XX)
722 Differential geometry (53-XX)
542 Global analysis, analysis on manifolds (58-XX)
160 Mechanics of deformable solids (74-XX)
145 Functional analysis (46-XX)
124 Fluid mechanics (76-XX)
122 Real functions (26-XX)
120 Operator theory (47-XX)
92 Dynamical systems and ergodic theory (37-XX)
79 Potential theory (31-XX)
75 Measure and integration (28-XX)
72 Ordinary differential equations (34-XX)
72 Convex and discrete geometry (52-XX)
70 Statistical mechanics, structure of matter (82-XX)
62 Several complex variables and analytic spaces (32-XX)
57 Biology and other natural sciences (92-XX)
56 Quantum theory (81-XX)
54 Probability theory and stochastic processes (60-XX)
46 Functions of a complex variable (30-XX)
30 Mechanics of particles and systems (70-XX)
29 Optics, electromagnetic theory (78-XX)
26 Manifolds and cell complexes (57-XX)
25 Numerical analysis (65-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Integral equations (45-XX)
21 Relativity and gravitational theory (83-XX)
17 Combinatorics (05-XX)
17 Systems theory; control (93-XX)
16 Classical thermodynamics, heat transfer (80-XX)
16 Operations research, mathematical programming (90-XX)
13 Topological groups, Lie groups (22-XX)
11 Difference and functional equations (39-XX)
10 General topology (54-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Geometry (51-XX)
7 Algebraic geometry (14-XX)
7 Computer science (68-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Approximations and expansions (41-XX)
4 Abstract harmonic analysis (43-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 Special functions (33-XX)
2 \(K\)-theory (19-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-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 Integral transforms, operational calculus (44-XX)

Publications by Year

Citations contained in zbMATH Open

2,415 Publications have been cited 33,081 times in 20,117 Documents Cited by Year
Local mountain passes for semilinear elliptic problems in unbounded domains. Zbl 0844.35032
del Pino, Manuel A.; Felmer, Patricio L.
432
1996
On the existence of soliton solutions to quasilinear Schrödinger equations. Zbl 1052.35060
Poppenberg, Markus; Schmitt, Klaus; Wang, Zhi-Qiang
267
2002
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
222
2015
Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range. Zbl 0820.35060
de Figueiredo, D. G.; Miyagaki, O. H.; Ruf, B.
214
1995
Regularity for general functionals with double phase. Zbl 1394.49034
Baroni, Paolo; Colombo, Maria; Mingione, Giuseppe
181
2018
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
Palatucci, Giampiero; Pisante, Adriano
181
2014
Fractional eigenvalues. Zbl 1292.35193
Lindgren, Erik; Lindqvist, Peter
164
2014
Standing waves with a critical frequency for nonlinear Schrödinger equations. II. Zbl 1073.35199
Byeon, Jaeyoung; Wang, Zhi-Qiang
158
2003
Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014
Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric
157
1993
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
156
2010
The Brezis-Nirenberg type problem involving the square root of the Laplacian. Zbl 1248.35078
Tan, Jinggang
156
2011
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
152
2015
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials. Zbl 1376.35056
Tang, X. H.; Chen, Sitong
147
2017
Ground state solutions of scalar field fractional Schrödinger equations. Zbl 1330.35495
Molica Bisci, Giovanni; Rădulescu, Vicenţiu D.
146
2015
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
135
2010
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
134
2005
Quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1223.35290
Silva, Elves A. B.; Vieira, Gilberto F.
128
2010
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
Benci, Vieri; Cerami, Giovanna
127
1994
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
del Pino, Manuel; Felmer, Patricio; Musso, Monica
126
2003
Contraction of convex hypersurfaces in Euclidean space. Zbl 0805.35048
Andrews, Ben
125
1994
On semilinear elliptic equations with indefinite nonlinearities. Zbl 0809.35022
Alama, Stanley; Tarantello, Gabriella
123
1993
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
120
1995
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
Jeanjean, Louis; Tanaka, Kazunaga
119
2004
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
116
1996
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
115
2001
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
Baraket, Sami; Pacard, Frank
114
1998
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
114
1993
Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Zbl 1213.35014
Hong, Min-Chun
111
2011
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
108
2009
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
108
2015
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
105
2009
Bound states for semilinear Schrödinger equations with sign-changing potential. Zbl 1119.35082
Ding, Yanheng; Szulkin, Andrzej
104
2007
Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities. Zbl 1366.35075
Cao, Xinru; Lankeit, Johannes
99
2016
The Jacobian and the Ginzburg-Landau energy. Zbl 1034.35025
Jerrard, Robert L.; Soner, Halil Mete
98
2002
Evolving convex curves. Zbl 0931.53030
Andrews, Ben
97
1998
Mean curvature flow singularities for mean convex surfaces. Zbl 0992.53052
Huisken, Gerhard; Sinestrari, Carlo
96
1999
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle. Zbl 0812.35063
Altschuler, Steven J.; Wu, Lang F.
96
1994
Finsler interpolation inequalities. Zbl 1175.49044
Ohta, Shin-ichi
94
2009
A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence. Zbl 1352.46037
Ponce, Augusto C.
93
2004
On an open question about functions of bounded variation. Zbl 1047.46025
Dávila, J.
91
2002
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\). Zbl 1311.35300
Wang, Zhengping; Zhou, Huan-Song
90
2015
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps. Zbl 0798.35139
Guo, Boling; Hong, Min-Chun
89
1993
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
89
2005
Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents. Zbl 1328.35046
He, Yi; Li, Gongbao
89
2015
Partial symmetry and asymptotic behavior for some elliptic variational problems. Zbl 1274.35026
Smets, Didier; Willem, Michel
88
2003
Double vortex condensates in the Chern-Simons-Higgs theory. Zbl 0951.58030
Nolasco, Margherita; Tarantello, Gabriella
85
1999
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
85
2011
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
81
2009
Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\). Zbl 1189.35106
Wei, Juncheng; Yan, Shusen
81
2010
On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038
Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank
81
2008
Implicit time discretization for the mean curvature flow equation. Zbl 0821.35003
Luckhaus, Stephan; Sturzenhecker, Thomas
80
1995
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
80
1993
Mountain pass type solutions for quasilinear elliptic equations. Zbl 0959.35057
Clément, Ph.; García-Huidobro, M.; Manásevich, R.; Schmitt, K.
79
2000
Multi-bump solutions for Choquard equation with deepening potential well. Zbl 1347.35097
Alves, Claudianor O.; Nóbrega, Alânnio B.; Yang, Minbo
79
2016
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
79
2008
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
78
2007
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
77
2007
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
76
2001
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
75
2009
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.
75
2016
Local Poincaré inequalities from stable curvature conditions on metric spaces. Zbl 1250.53040
Rajala, Tapio
72
2012
The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps. Zbl 1142.35433
Duzaar, Frank; Mingione, Giuseppe
72
2004
Stability of translating solutions to mean curvature flow. Zbl 1120.53041
Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix
72
2007
Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity. Zbl 1407.35216
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
72
2019
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
71
2013
Equilibrium maps between metric spaces. Zbl 0798.58021
Jost, Jürgen
71
1994
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli
68
2017
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
68
1993
Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Zbl 1194.35118
do Ó, João Marcos; Severo, Uberlandio
68
2010
A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension. Zbl 1271.53064
Cao, Huai-Dong; Li, Haizhong
68
2013
The extremal solution for the fractional Laplacian. Zbl 1301.35204
Ros-Oton, Xavier; Serra, Joaquim
67
2014
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.
67
2002
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
67
1997
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
67
2012
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
67
2005
Non radial positive solution for the Hénon equation with critical growth. Zbl 1207.35147
Serra, Enrico
66
2005
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems. Zbl 1311.35291
Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-Qiang
66
2015
Riesz potential estimates for a general class of quasilinear equations. Zbl 1318.35041
Baroni, Paolo
66
2015
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
64
2003
Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case. Zbl 1312.35158
Chen, Zhijie; Zou, Wenming
64
2015
Infinitely many bound states for some nonlinear scalar field equations. Zbl 1078.35113
Cerami, G.; Devillanova, G.; Solimini, S.
63
2005
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory. Zbl 1070.49026
Hutchinson, John E.; Tonegawa, Yoshihiro
62
2000
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Zbl 1068.35189
Giacomini, Alessandro
62
2005
Conformal metrics with prescribed mean curvature on the boundary. Zbl 0867.53034
Escobar, José F.
59
1996
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
59
1999
Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. Zbl 0838.35035
Chabrowski, J.
59
1995
Ground states for quasilinear Schrödinger equations with critical growth. Zbl 1266.35025
Liu, Xiangqing; Liu, Jiaquan; Wang, Zhi-Qiang
59
2013
On the Christoffel-Minkowski problem of Firey’s \(p\)-sum. Zbl 1161.35391
Hu, Changqing; Ma, Xi-Nan; Shen, Chunli
58
2004
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
57
2005
An optimal constant for the existence of least energy solutions of a coupled Schrödinger system. Zbl 1286.35104
Chen, Zhijie; Zou, Wenming
57
2013
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
56
2011
Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\). Zbl 0987.35039
Adachi, Shinji; Tanaka, Kazunaga
55
2000
On superlinear Schrödinger equations with periodic potential. Zbl 1247.35149
Liu, Shibo
55
2012
The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
55
2016
Energy bounds for entire nodal solutions of autonomous superlinear equations. Zbl 1151.35365
Weth, Tobias
54
2006
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
54
2015
\(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
54
2008
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
53
1999
Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
53
2003
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
53
2010
Upper heat kernel estimates for nonlocal operators via Aronson’s method. Zbl 07639637
Kassmann, Moritz; Weidner, Marvin
3
2023
Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms. Zbl 1501.35243
Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan
1
2023
Stability estimates for the complex Monge-Ampère and Hessian equations. Zbl 07613187
Guo, Bin; Phong, Duong H.; Tong, Freid
1
2023
Boundedness of non-local operators with spatially dependent coefficients and \(L_p\)-estimates for non-local equations. Zbl 07639631
Dong, Hongjie; Jung, Pilgyu; Kim, Doyoon
1
2023
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations. Zbl 07639636
Garain, Prashanta; Lindgren, Erik
1
2023
A Bochner formula on path space for the Ricci flow. Zbl 07642697
Kennedy, Christopher
1
2023
Extensions and traces of BV functions in rough domains and generalized Cheeger sets. Zbl 07637871
Gui, Changfeng; Hu, Yeyao; Li, Qinfeng
1
2023
On rectifiable measures in Carnot groups: representation. Zbl 1487.53055
Antonelli, Gioacchino; Merlo, Andrea
7
2022
Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\). Zbl 1481.35141
Alves, Claudianor O.; Ji, Chao; Miyagaki, Olimpio H.
6
2022
Jump processes as generalized gradient flows. Zbl 1490.60022
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
6
2022
Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux. Zbl 1485.35067
Zheng, Jiashan
6
2022
On the structure of weak solutions to scalar conservation laws with finite entropy production. Zbl 1486.35294
Marconi, Elio
4
2022
Representation formulas and pointwise properties for Barron functions. Zbl 1482.41013
E, Weinan; Wojtowytsch, Stephan
4
2022
Least energy solutions to a cooperative system of Schrödinger equations with prescribed \(L^2\)-bounds: at least \(L^2\)-critical growth. Zbl 1490.35367
Mederski, Jarosław; Schino, Jacopo
3
2022
One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension. Zbl 1483.74033
Daneri, Sara; Runa, Eris
3
2022
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
3
2022
Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities. Zbl 1485.35229
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga
3
2022
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. Zbl 1494.53049
Antonelli, Gioacchino; Bruè, Elia; Fogagnolo, Mattia; Pozzetta, Marco
3
2022
Stability of radially symmetric, monotone vorticities of 2D Euler equations. Zbl 1494.76021
Choi, Kyudong; Lim, Deokwoo
3
2022
Non-uniqueness in law for the Boussinesq system forced by random noise. Zbl 07556328
Yamazaki, Kazuo
3
2022
Multiple high energy solutions for fractional Schrödinger equation with critical growth. Zbl 1481.35144
Guo, Lun; Li, Qi
2
2022
The minimum problem for one-dimensional non-semicontinuous functionals. Zbl 1480.49001
Zagatti, Sandro
2
2022
The \(L_p\)-Gaussian Minkowski problem. Zbl 1480.52006
Liu, Jiaqian
2
2022
On the definition of solution to the total variation flow. Zbl 1483.35129
Kinnunen, Juha; Scheven, Christoph
2
2022
Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities. Zbl 1485.35014
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico
2
2022
The Euler-Helfrich functional. Zbl 1490.49030
Palmer, Bennett; Pámpano, Álvaro
2
2022
A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity. Zbl 1490.05169
Shi, Yongjie; Yu, Chengjie
2
2022
Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Zbl 1490.35262
Dávila, Juan; Pino, Manuel del; Musso, Monica; Wei, Juncheng
2
2022
Critical Hardy inequality on the half-space via the harmonic transplantation. Zbl 07542671
Sano, Megumi; Takahashi, Futoshi
2
2022
Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates. Zbl 1500.35195
Zhang, Xuemei; Feng, Meiqiang
2
2022
Global classical solutions of 3D compressible viscoelastic system near equilibrium. Zbl 07451526
Zhu, Yi
1
2022
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains. Zbl 1480.35004
Meglioli, Giulia; Monticelli, Dario D.; Punzo, Fabio
1
2022
Solutions to Hamilton-Jacobi equation on a Wasserstein space. Zbl 1479.49009
Badreddine, Zeinab; Frankowska, Hélène
1
2022
Semi-discrete optimal transport methods for the semi-geostrophic equations. Zbl 07474270
Bourne, David P.; Egan, Charlie P.; Pelloni, Beatrice; Wilkinson, Mark
1
2022
Radial single point rupture solutions for a general MEMS model. Zbl 07488384
Ghergu, Marius; Miyamoto, Yasuhito
1
2022
A positive energy theorem for fourth-order gravity. Zbl 1490.35487
Avalos, Rodrigo; Laurain, Paul; Lira, Jorge H.
1
2022
Inverse mean curvature evolution of entire graphs. Zbl 1494.53011
Daskalopoulos, Panagiota; Huisken, Gerhard
1
2022
Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. Zbl 1485.35432
Du, Yihong; Wu, Chang-Hong
1
2022
Global existence of smooth solution to relativistic membrane equation with large data. Zbl 1484.35290
Wang, Jinhua; Wei, Changhua
1
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Compactness for \(\Omega\)-Yang-Mills connections. Zbl 1498.53035
Chen, Xuemiao; Wentworth, Richard A.
1
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Symmetric positive solutions to nonlinear Choquard equations with potentials. Zbl 1485.35238
Maia, Liliane; Pellacci, Benedetta; Schiera, Delia
1
2022
The \(Q_k\) flow on complete non-compact graphs. Zbl 1493.53111
Choi, Kyeongsu; Daskalopoulos, Panagiota
1
2022
Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries. Zbl 1495.35111
Dekkers, Adrien; Rozanova-Pierrat, Anna; Teplyaev, Alexander
1
2022
Combinatorial Calabi flows on surfaces with boundary. Zbl 1489.53135
Luo, Yanwen; Xu, Xu
1
2022
Gradient potential estimates in elliptic obstacle problems with Orlicz growth. Zbl 1486.35226
Xiong, Qi; Zhang, Zhenqiu; Ma, Lingwei
1
2022
On convex functions and elliptic operators. Zbl 1486.35241
Maldonado, Diego
1
2022
Gradient estimates for singular parabolic \(p\)-Laplace type equations with measure data. Zbl 1485.35081
Dong, Hongjie; Zhu, Hanye
1
2022
Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth. Zbl 1486.35188
Koch, Lukas
1
2022
An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions. Zbl 1489.74049
Li, Haigang; Li, Yan
1
2022
Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions. Zbl 1492.35428
Liu, Hongyu; Tsou, Chun-Hsiang
1
2022
Upper bounds for the Steklov eigenvalues on trees. Zbl 1492.05090
He, Zunwu; Hua, Bobo
1
2022
Anisotropic surface tensions for phase transitions in periodic media. Zbl 1487.49018
Choksi, Rustum; Fonseca, Irene; Lin, Jessica; Venkatraman, Raghavendra
1
2022
Boundary singular solutions of a class of equations with mixed absorption-reaction. Zbl 1491.35207
Bidaut-Véron, Marie-Françoise; Garcia-Huidobro, Marta; Véron, Laurent
1
2022
Existence of solutions to Chern-Simons-Higgs equations on graphs. Zbl 1491.35238
Hou, Songbo; Sun, Jiamin
1
2022
Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group. Zbl 1500.53077
Young, Robert
1
2022
Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1493.35126
Zheng, Jiashan; Qi, Dayong; Ke, Yuanyuan
1
2022
\(L^\infty\)-truncation of closed differential forms. Zbl 1496.49010
Schiffer, Stefan
1
2022
Scattering for the non-radial inhomogenous biharmonic NLS equation. Zbl 1492.35298
Campos, Luccas; Guzmán, Carlos M.
1
2022
Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness. Zbl 1491.49011
Novack, Michael; Yan, Xiaodong
1
2022
Kellogg’s theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces. Zbl 1495.31002
Kalaj, David
1
2022
Orientability and asymptotic convergence of \(Q\)-tensor flow of biaxial nematic liquid crystals. Zbl 1503.35164
Huang, Jinrui; Lin, Junyu
1
2022
The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures. Zbl 07565570
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian
1
2022
Shape optimization of a thermal insulation problem. Zbl 1496.35383
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina
1
2022
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities. Zbl 1495.35213
Lin, Yi-Hsuan
1
2022
On global minimizers for a mass constrained problem. Zbl 1500.35155
Jeanjean, Louis; Lu, Sheng-Sen
1
2022
Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044
Fujie, Kentarou; Jiang, Jie
20
2021
Characterisation of homogeneous fractional Sobolev spaces. Zbl 1471.46030
Brasco, Lorenzo; Gómez-Castro, David; Vázquez, Juan Luis
9
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
8
2021
On a planar non-autonomous Schrödinger-Poisson system involving exponential critical growth. Zbl 1459.35146
Albuquerque, F. S.; Carvalho, J. L.; Figueiredo, G. M.; Medeiros, E.
8
2021
A theory of spectral partitions of metric graphs. Zbl 1462.35222
Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio
7
2021
On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity. Zbl 1465.35133
Chen, Sitong; Tang, Xianhua
7
2021
Higher Hölder regularity for nonlocal equations with irregular kernel. Zbl 07309168
Nowak, Simon
7
2021
Saddle solutions for the critical Choquard equation. Zbl 1459.35216
Xia, Jiankang; Zhang, Xu
7
2021
Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems. Zbl 1467.35158
Giacomoni, Jacques; Kumar, Deepak; Sreenadh, K.
7
2021
Derivation of Darcy’s law in randomly perforated domains. Zbl 1473.35029
Giunti, A.
7
2021
Concentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanism. Zbl 1480.35380
Cui, Renhao; Li, Huicong; Peng, Rui; Zhou, Maolin
7
2021
Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
7
2021
A combinatorial Yamabe problem on two and three dimensional manifolds. Zbl 1481.53020
Ge, Huabin; Xu, Xu
6
2021
Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations. Zbl 1459.35053
Ding, Mengyao; Zhang, Chao; Zhou, Shulin
6
2021
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function. Zbl 1458.35437
Sun, Linlin; Zhu, Jingyong
6
2021
Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation. Zbl 1472.35292
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning
6
2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
6
2021
The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling. Zbl 1479.82005
Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca
6
2021
Excited states of Bose-Einstein condensates with degenerate attractive interactions. Zbl 1477.35244
Luo, Peng; Peng, Shuangjie; Wei, Juncheng; Yan, Shusen
6
2021
Curvature estimates for a class of Hessian type equations. Zbl 1466.53007
Chu, Jianchun; Jiao, Heming
5
2021
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
5
2021
On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions. Zbl 1471.76073
Wen, Huanyao
5
2021
\( \alpha \)-Dirac-harmonic maps from closed surfaces. Zbl 1465.58008
Jost, Jürgen; Zhu, Jingyong
5
2021
Multiplicity results for \((p, q)\)-Laplacian equations with critical exponent in \(\mathbb{R}^N\) and negative energy. Zbl 1455.35123
Baldelli, Laura; Brizi, Ylenia; Filippucci, Roberta
5
2021
Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations. Zbl 1462.35437
Dong, Hongjie; Gao, Yuan
4
2021
Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum. Zbl 1461.76571
Zhong, Xin
4
2021
The structure of the singular set in the thin obstacle problem for degenerate parabolic equations. Zbl 1469.35130
Banerjee, Agnid; Danielli, Donatella; Garofalo, Nicola; Petrosyan, Arshak
4
2021
Higher integrability for variational integrals with non-standard growth. Zbl 1462.49015
Schäffner, Mathias
4
2021
Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials. Zbl 1476.70061
Kang, Kyungkeun; Kim, Hwa Kil; Lim, Tongseok; Seo, Geuntaek
4
2021
On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension. Zbl 1459.35156
Faraci, F.; Silva, K.
4
2021
Uniqueness of the critical point for semi-stable solutions in \(\mathbb{R}^2\). Zbl 1459.35212
De Regibus, Fabio; Grossi, Massimo; Mukherjee, Debangana
4
2021
Orlicz-Minkowski flows. Zbl 1458.53094
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
4
2021
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
4
2021
Existence and nonexistence in the liquid drop model. Zbl 1499.81093
Frank, Rupert L.; Nam, Phan Thành
4
2021
Augmented Lagrangian methods for degenerate Hamilton-Jacobi equations. Zbl 1476.35093
Ennaji, Hamza; Igbida, Noureddine; Nguyen, Van Thanh
4
2021
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Cited by 11,777 Authors

176 Wei, Juncheng
147 Tang, Xianhua
113 Rădulescu, Vicenţiu D.
106 Alves, Claudianor Oliveira
97 Valdinoci, Enrico
83 Papageorgiou, Nikolaos S.
79 Pistoia, Angela
77 Zou, Wenming
72 Byun, Sun-Sig
71 Wang, Zhi-Qiang
70 Lin, Chang-Shou
68 Figueiredo, Giovany Malcher
67 Zhang, Binlin
65 Tang, Chun-Lei
63 Miyagaki, Olimpio Hiroshi
63 Novaga, Matteo
63 Peng, Shuangjie
62 Musso, Monica
60 Ambrosio, Vincenzo
59 Lu, Guozhen
59 Mingione, Giuseppe
59 Rossi, Julio Daniel
56 Do Ó, João M. Bezerra
55 Del Pino, Manuel A.
55 Squassina, Marco
54 Dipierro, Serena
52 Chen, Sitong
52 Yang, Minbo
50 Xiang, Mingqi
50 Zhang, Jian
47 Cianchi, Andrea
47 Jost, Jürgen
46 Guo, Yuxia
44 Weth, Tobias
44 Wu, Tsungfang
43 Carrillo de la Plata, José Antonio
43 Yan, Shusen
43 Zhang, Fubao
42 Mielke, Alexander
42 Wang, Changyou
42 Wang, Jun
41 Fonseca, Irene
39 Ambrosio, Luigi
39 Figalli, Alessio
39 Lei, Yutian
39 Molica Bisci, Giovanni
38 Ding, Yanheng
38 Malchiodi, Andrea
38 Pucci, Patrizia
38 Sciunzi, Berardino
38 Van Schaftingen, Jean
38 Winkler, Michael
37 Conti, Sergio
37 Fusco, Nicola
37 Winkert, Patrick
36 Clapp, Mónica
36 Fragalà, Ilaria
35 Cao, Daomin
35 Chambolle, Antonin
35 Chen, Haibo
35 Gigli, Nicola
35 Repovš, Dušan D.
35 Tang, Zhongwei
35 Yang, Yunyan
35 Zhang, Jianjun
35 Zhang, Wen
34 Bonheure, Denis
34 Dong, Hongjie
34 Farina, Alberto
34 Sire, Yannick
34 Sreenadh, Konijeti
34 Vazquez, Juan Luis
34 Zheng, Shenzhou
33 Stefanelli, Ulisse
33 Zhu, Miaomiao
32 Byeon, Jaeyoung
32 Kang, Dongsheng
31 Guo, Zongming
30 Bartsch, Thomas J.
30 Duzaar, Frank
30 Ignat, Radu
30 Lee, Youngae
30 Schikorra, Armin
30 Severo, Uberlandio Batista
30 Terracini, Susanna
30 Wang, Guofang
30 Zeng, Shengda
30 Zhang, Zhitao
29 Chtioui, Hichem
29 Gomes, Diogo Luís Aguiar
29 Katzourakis, Nikolaos I.
29 Lam, Nguyen
29 Li, YanYan
29 Shi, Junping
29 Yang, Jianfu
28 Dávila, Juan
28 Dolbeault, Jean
28 Furtado, Marcelo Fernandes
28 Grossi, Massimo
28 Ji, Chao
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Cited in 636 Journals

1,428 Calculus of Variations and Partial Differential Equations
1,122 Journal of Differential Equations
1,071 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
926 Journal of Mathematical Analysis and Applications
540 Journal of Functional Analysis
465 Archive for Rational Mechanics and Analysis
431 The Journal of Geometric Analysis
387 Discrete and Continuous Dynamical Systems
337 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
325 Communications on Pure and Applied Analysis
312 Advances in Mathematics
293 Proceedings of the American Mathematical Society
267 Journal of Mathematical Physics
255 Journal de Mathématiques Pures et Appliquées. Neuvième Série
251 SIAM Journal on Mathematical Analysis
249 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
248 Transactions of the American Mathematical Society
246 Communications in Contemporary Mathematics
241 Annali di Matematica Pura ed Applicata. Serie Quarta
240 NoDEA. Nonlinear Differential Equations and Applications
238 Communications in Partial Differential Equations
223 Boundary Value Problems
196 Advanced Nonlinear Studies
187 ZAMP. Zeitschrift für angewandte Mathematik und Physik
178 Mathematische Annalen
176 Applied Mathematics Letters
168 Nonlinear Analysis. Real World Applications
168 Complex Variables and Elliptic Equations
167 Advances in Nonlinear Analysis
148 Communications in Mathematical Physics
143 Applicable Analysis
136 Manuscripta Mathematica
135 Mathematische Zeitschrift
126 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
126 Advances in Calculus of Variations
118 Science China. Mathematics
116 Discrete and Continuous Dynamical Systems. Series S
112 Annals of Global Analysis and Geometry
110 Comptes Rendus. Mathématique. Académie des Sciences, Paris
107 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
100 Nonlinearity
100 Potential Analysis
96 Journal für die Reine und Angewandte Mathematik
93 Mediterranean Journal of Mathematics
90 Computers & Mathematics with Applications
89 Communications on Pure and Applied Mathematics
89 Acta Mathematica Sinica. English Series
88 Journal of the European Mathematical Society (JEMS)
85 Journal of Fixed Point Theory and Applications
84 Journal of Evolution Equations
80 Discrete and Continuous Dynamical Systems. Series B
79 Applied Mathematics and Optimization
79 Differential Geometry and its Applications
77 Topological Methods in Nonlinear Analysis
73 Mathematical Methods in the Applied Sciences
73 Acta Mathematica Scientia. Series B. (English Edition)
72 Inventiones Mathematicae
71 Journal of Nonlinear Science
71 Electronic Journal of Differential Equations (EJDE)
70 Analysis & PDE
65 Journal of Geometry and Physics
63 Abstract and Applied Analysis
62 Milan Journal of Mathematics
61 Journal d’Analyse Mathématique
61 Duke Mathematical Journal
61 Pacific Journal of Mathematics
60 Revista Matemática Iberoamericana
57 Archiv der Mathematik
56 Geometriae Dedicata
56 Mathematische Nachrichten
56 Acta Applicandae Mathematicae
56 Journal of Dynamics and Differential Equations
55 Results in Mathematics
55 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
54 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
53 Journal of Mathematical Sciences (New York)
51 Applied Mathematics and Computation
51 Journal of Mathematical Fluid Mechanics
51 Journal of Elliptic and Parabolic Equations
49 Chinese Annals of Mathematics. Series B
48 SN Partial Differential Equations and Applications
47 International Journal of Mathematics
47 Journal of Inequalities and Applications
46 Asymptotic Analysis
46 Annales Henri Poincaré
44 Indiana University Mathematics Journal
44 Journal of Elasticity
44 Analysis and Mathematical Physics
42 Journal of Computational Physics
42 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
41 Monatshefte für Mathematik
40 Computer Methods in Applied Mechanics and Engineering
40 Israel Journal of Mathematics
39 Analysis and Geometry in Metric Spaces
38 Geometric and Functional Analysis. GAFA
38 SIAM Journal on Applied Mathematics
37 Physica D
36 Rocky Mountain Journal of Mathematics
36 Journal of Convex Analysis
36 Journal of Function Spaces
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Cited in 60 Fields

13,983 Partial differential equations (35-XX)
3,592 Differential geometry (53-XX)
3,404 Calculus of variations and optimal control; optimization (49-XX)
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1,071 Mechanics of deformable solids (74-XX)
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927 Operator theory (47-XX)
925 Fluid mechanics (76-XX)
785 Real functions (26-XX)
752 Biology and other natural sciences (92-XX)
608 Statistical mechanics, structure of matter (82-XX)
591 Dynamical systems and ergodic theory (37-XX)
585 Numerical analysis (65-XX)
578 Ordinary differential equations (34-XX)
478 Quantum theory (81-XX)
456 Probability theory and stochastic processes (60-XX)
405 Measure and integration (28-XX)
384 Convex and discrete geometry (52-XX)
362 Potential theory (31-XX)
280 Integral equations (45-XX)
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252 Functions of a complex variable (30-XX)
243 Optics, electromagnetic theory (78-XX)
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134 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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86 Information and communication theory, circuits (94-XX)
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62 Abstract harmonic analysis (43-XX)
48 Algebraic geometry (14-XX)
43 Algebraic topology (55-XX)
40 Statistics (62-XX)
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32 Linear and multilinear algebra; matrix theory (15-XX)
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5 Number theory (11-XX)
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