## 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: 2,806 Publications (since 1993) References Indexed: 2,477 Publications with 71,551 References.
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### Authors

 32 Wei, Juncheng 25 Jost, Jürgen 14 Li, Jiayu 14 Müller, Stefan 14 Wang, Changyou 13 Byun, Sun-Sig 13 Wang, Zhi-Qiang 13 Zhu, Miaomiao 11 Farina, Alberto 11 Fonseca, Irene 11 Valdinoci, Enrico 10 Hong, Minchun 10 Otto, Felix 10 Smoczyk, Knut 9 Dal Maso, Gianni 9 Del Pino, Manuel A. 9 Dong, Hongjie 9 Lu, Guozhen 9 Pistoia, Angela 9 Vazquez, Juan Luis 9 Yan, Shusen 8 Fuchs, Martin 8 Fusco, Nicola 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 8 Zou, Wenming 7 Alves, Claudianor Oliveira 7 Byeon, Jaeyoung 7 Cao, Daomin 7 Cheng, Qingming 7 Conti, Sergio 7 Ding, Yanheng 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 Lin, Chang-Shou 7 Lin, Fang Hua 7 Mora, Maria Giovanna 7 Musso, Monica 7 Palmer, Bennett 7 Peng, Shuangjie 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 Ambrosio, Luigi 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 Clapp, Mónica 6 Dacorogna, Bernard 6 Do Ó, João M. Bezerra 6 Duzaar, Frank 6 Fall, Mouhamed Moustapha 6 Figalli, Alessio 6 Garroni, Adriana 6 Gazzola, Filippo 6 Giaquinta, Mariano 6 Guo, Yuxia 6 Guo, Zongming 6 Hebey, Emmanuel 6 Hildebrandt, Stefan 6 Jeanjean, Louis 6 Kristensen, Jan 6 Liu, Lei 6 Mielke, Alexander 6 Montecchiari, Piero 6 Monti, Roberto 6 Papageorgiou, Nikolaos S. 6 Peletier, Mark Adriaan 6 Ritoré, Manuel 6 Savin, Ovidiu V. 6 Sciunzi, Berardino 6 Sun, Linlin 6 Van Schaftingen, Jean 6 Weth, Tobias 6 Xiong, Jingang 6 Ye, Dong 6 Zhang, Lei 5 Alama, Stan 5 Andrews, Ben ...and 3,017 more Authors
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### Fields

 1,824 Partial differential equations (35-XX) 772 Calculus of variations and optimal control; optimization (49-XX) 693 Differential geometry (53-XX) 531 Global analysis, analysis on manifolds (58-XX) 156 Mechanics of deformable solids (74-XX) 133 Functional analysis (46-XX) 117 Real functions (26-XX) 113 Operator theory (47-XX) 112 Fluid mechanics (76-XX) 90 Dynamical systems and ergodic theory (37-XX) 76 Potential theory (31-XX) 71 Measure and integration (28-XX) 71 Ordinary differential equations (34-XX) 69 Statistical mechanics, structure of matter (82-XX) 67 Convex and discrete geometry (52-XX) 56 Several complex variables and analytic spaces (32-XX) 54 Probability theory and stochastic processes (60-XX) 52 Quantum theory (81-XX) 51 Biology and other natural sciences (92-XX) 44 Functions of a complex variable (30-XX) 28 Optics, electromagnetic theory (78-XX) 26 Mechanics of particles and systems (70-XX) 24 Manifolds and cell complexes (57-XX) 23 Integral equations (45-XX) 23 Numerical analysis (65-XX) 21 Relativity and gravitational theory (83-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Systems theory; control (93-XX) 16 Combinatorics (05-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Operations research, mathematical programming (90-XX) 12 Topological groups, Lie groups (22-XX) 9 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Difference and functional equations (39-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Geometry (51-XX) 5 Algebraic geometry (14-XX) 5 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-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 $$K$$-theory (19-XX) 1 Special functions (33-XX)

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2,352 Publications have been cited 31,052 times in 19,169 Documents Cited by Year
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On the existence of soliton solutions to quasilinear Schrödinger equations. Zbl 1052.35060
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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional $$p$$-Laplacian in $$\mathbb R^N$$. Zbl 1329.35338
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Elliptic equations in $$R^ 2$$ with nonlinearities in the critical growth range. Zbl 0820.35060
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Regularity for general functionals with double phase. Zbl 1394.49034
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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
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Fractional eigenvalues. Zbl 1292.35193
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The Brezis-Nirenberg type problem involving the square root of the Laplacian. Zbl 1248.35078
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Standing waves with a critical frequency for nonlinear Schrödinger equations. II. Zbl 1073.35199
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Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014
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A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
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2010
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
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2015
Ground state solutions of scalar field fractional Schrödinger equations. Zbl 1330.35495
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2015
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials. Zbl 1376.35056
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2017
Singular limits in Liouville-type equations. Zbl 1088.35067
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2005
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
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2010
Quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1223.35290
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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
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Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
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2003
On semilinear elliptic equations with indefinite nonlinearities. Zbl 0809.35022
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1993
On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
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1995
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
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2004
Contraction of convex hypersurfaces in Euclidean space. Zbl 0805.35048
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1994
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
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2001
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
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1993
Prescribed scalar curvature on the $$n$$-sphere. Zbl 0843.53037
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1996
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
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2009
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
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1998
Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Zbl 1213.35014
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2011
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
2015
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
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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
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
Evolving convex curves. Zbl 0931.53030
Andrews, Ben
1998
Mean curvature flow singularities for mean convex surfaces. Zbl 0992.53052
Huisken, Gerhard; Sinestrari, Carlo
1999
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps. Zbl 0798.35139
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1993
Partial symmetry and asymptotic behavior for some elliptic variational problems. Zbl 1274.35026
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2003
Finsler interpolation inequalities. Zbl 1175.49044
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2009
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
2005
A new approach to Sobolev spaces and connections to $$\Gamma$$-convergence. Zbl 1352.46037
Ponce, Augusto C.
2004
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle. Zbl 0812.35063
Altschuler, Steven J.; Wu, Lang F.
1994
On an open question about functions of bounded variation. Zbl 1047.46025
Dávila, J.
2002
Double vortex condensates in the Chern-Simons-Higgs theory. Zbl 0951.58030
Nolasco, Margherita; Tarantello, Gabriella
1999
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
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
2011
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in $$\mathbb {R}^3$$. Zbl 1311.35300
Wang, Zhengping; Zhou, Huan-Song
2015
On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038
Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank
2008
Implicit time discretization for the mean curvature flow equation. Zbl 0821.35003
Luckhaus, Stephan; Sturzenhecker, Thomas
1995
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
2007
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
1993
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
Infinitely many positive solutions for the nonlinear Schrödinger equations in $$\mathbb R^N$$. Zbl 1189.35106
Wei, Juncheng; Yan, Shusen
2010
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
2009
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
2007
Mountain pass type solutions for quasilinear elliptic equations. Zbl 0959.35057
Clément, Ph.; García-Huidobro, M.; Manásevich, R.; Schmitt, K.
2000
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
2001
Multi-bump solutions for Choquard equation with deepening potential well. Zbl 1347.35097
Alves, Claudianor O.; Nóbrega, Alânnio B.; Yang, Minbo
2016
Equilibrium maps between metric spaces. Zbl 0798.58021
Jost, Jürgen
1994
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
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
2009
The $$p$$-harmonic approximation and the regularity of $$p$$-harmonic maps. Zbl 1142.35433
Duzaar, Frank; Mingione, Giuseppe
2004
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
2013
Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity. Zbl 1407.35216
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
2019
Stability of translating solutions to mean curvature flow. Zbl 1120.53041
Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix
2007
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
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
Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Zbl 1194.35118
do Ó, João Marcos; Severo, Uberlandio
2010
Riesz potential estimates for a general class of quasilinear equations. Zbl 1318.35041
Baroni, Paolo
2015
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
2003
Non radial positive solution for the Hénon equation with critical growth. Zbl 1207.35147
Serra, Enrico
2005
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
2005
Local Poincaré inequalities from stable curvature conditions on metric spaces. Zbl 1250.53040
Rajala, Tapio
2012
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli
2017
The extremal solution for the fractional Laplacian. Zbl 1301.35204
Ros-Oton, Xavier; Serra, Joaquim
2014
Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case. Zbl 1312.35158
Chen, Zhijie; Zou, Wenming
2015
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
Infinitely many bound states for some nonlinear scalar field equations. Zbl 1078.35113
Cerami, G.; Devillanova, G.; Solimini, S.
2005
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems. Zbl 1311.35291
Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-Qiang
2015
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 phase interfaces in the van der Waals-Cahn-Hilliard theory. Zbl 1070.49026
Hutchinson, John E.; Tonegawa, Yoshihiro
2000
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Zbl 1068.35189
Giacomini, Alessandro
2005
Conformal metrics with prescribed mean curvature on the boundary. Zbl 0867.53034
Escobar, José F.
1996
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
1999
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
On the Christoffel-Minkowski problem of Firey’s $$p$$-sum. Zbl 1161.35391
Hu, Changqing; Ma, Xi-Nan; Shen, Chunli
2004
Ground states for quasilinear Schrödinger equations with critical growth. Zbl 1266.35025
Liu, Xiangqing; Liu, Jiaquan; Wang, Zhi-Qiang
2013
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
2011
Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. Zbl 0838.35035
Chabrowski, J.
1995
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
2000
An optimal constant for the existence of least energy solutions of a coupled Schrödinger system. Zbl 1286.35104
Chen, Zhijie; Zou, Wenming
2013
The Brezis-Nirenberg problem for the fractional $$p$$-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
1999
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
2010
Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034
Evans, Lawrence C.; Smart, Charles K.
2011
A class of integral equations and approximation of $$p$$-Laplace equations. Zbl 1198.45005
Ishii, Hitoshi; Nakamura, Gou
2010
Gradient continuity estimates. Zbl 1204.35100
Duzaar, Frank; Mingione, Giuseppe
2010
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
Jump processes as generalized gradient flows. Zbl 1490.60022
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
2022
On rectifiable measures in Carnot groups: representation. Zbl 1487.53055
Antonelli, Gioacchino; Merlo, Andrea
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.
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
2022
On the structure of weak solutions to scalar conservation laws with finite entropy production. Zbl 1486.35294
Marconi, Elio
2022
Representation formulas and pointwise properties for Barron functions. Zbl 1482.41013
E, Weinan; Wojtowytsch, Stephan
2022
Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux. Zbl 1485.35067
Zheng, Jiashan
2022
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. Zbl 07488414
Antonelli, Gioacchino; Bruè, Elia; Fogagnolo, Mattia; Pozzetta, Marco
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
2022
Multiple high energy solutions for fractional Schrödinger equation with critical growth. Zbl 1481.35144
Guo, Lun; Li, Qi
2022
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
2022
Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities. Zbl 1485.35229
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga
2022
A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity. Zbl 1490.05169
Shi, Yongjie; Yu, Chengjie
2022
Global classical solutions of 3D compressible viscoelastic system near equilibrium. Zbl 07451526
Zhu, Yi
2022
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains. Zbl 1480.35004
Meglioli, Giulia; Monticelli, Dario D.; Punzo, Fabio
2022
The minimum problem for one-dimensional non-semicontinuous functionals. Zbl 1480.49001
Zagatti, Sandro
2022
Semi-discrete optimal transport methods for the semi-geostrophic equations. Zbl 07474270
Bourne, David P.; Egan, Charlie P.; Pelloni, Beatrice; Wilkinson, Mark
2022
Radial single point rupture solutions for a general MEMS model. Zbl 07488384
Ghergu, Marius; Miyamoto, Yasuhito
2022
Inverse mean curvature evolution of entire graphs. Zbl 07488390
Daskalopoulos, Panagiota; Huisken, Gerhard
2022
Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. Zbl 1485.35432
Du, Yihong; Wu, Chang-Hong
2022
Global existence of smooth solution to relativistic membrane equation with large data. Zbl 1484.35290
Wang, Jinhua; Wei, Changhua
2022
Symmetric positive solutions to nonlinear Choquard equations with potentials. Zbl 1485.35238
Maia, Liliane; Pellacci, Benedetta; Schiera, Delia
2022
Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities. Zbl 1485.35014
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico
2022
Combinatorial Calabi flows on surfaces with boundary. Zbl 1489.53135
Luo, Yanwen; Xu, Xu
2022
Gradient potential estimates in elliptic obstacle problems with Orlicz growth. Zbl 1486.35226
Xiong, Qi; Zhang, Zhenqiu; Ma, Lingwei
2022
An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions. Zbl 1489.74049
Li, Haigang; Li, Yan
2022
Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions. Zbl 07500318
Liu, Hongyu; Tsou, Chun-Hsiang
2022
Upper bounds for the Steklov eigenvalues on trees. Zbl 07510381
He, Zunwu; Hua, Bobo
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
2022
Stability of radially symmetric, monotone vorticities of 2D Euler equations. Zbl 07523701
Choi, Kyudong; Lim, Deokwoo
2022
Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity. Zbl 07541304
Zheng, Jiashan; Qi, Dayong; Ke, Yuanyuan
2022
Kellogg’s theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces. Zbl 07547964
Kalaj, David
2022
Orientability and asymptotic convergence of $$Q$$-tensor flow of biaxial nematic liquid crystals. Zbl 07556324
Huang, Jinrui; Lin, Junyu
2022
Shape optimization of a thermal insulation problem. Zbl 07565575
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina
2022
Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044
Fujie, Kentarou; Jiang, Jie
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.
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
A theory of spectral partitions of metric graphs. Zbl 1462.35222
Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio
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
2021
A combinatorial Yamabe problem on two and three dimensional manifolds. Zbl 1481.53020
Ge, Huabin; Xu, Xu
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
Characterisation of homogeneous fractional Sobolev spaces. Zbl 1471.46030
Brasco, Lorenzo; Gómez-Castro, David; Vázquez, Juan Luis
2021
Derivation of Darcy’s law in randomly perforated domains. Zbl 1473.35029
Giunti, A.
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
2021
Saddle solutions for the critical Choquard equation. Zbl 1459.35216
Xia, Jiankang; Zhang, Xu
2021
$$\alpha$$-Dirac-harmonic maps from closed surfaces. Zbl 1465.58008
Jost, Jürgen; Zhu, Jingyong
2021
Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems. Zbl 1467.35158
Giacomoni, Jacques; Kumar, Deepak; Sreenadh, K.
2021
Excited states of Bose-Einstein condensates with degenerate attractive interactions. Zbl 1477.35244
Luo, Peng; Peng, Shuangjie; Wei, Juncheng; Yan, Shusen
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
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
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
Uniqueness of the critical point for semi-stable solutions in $$\mathbb{R}^2$$. Zbl 1459.35212
De Regibus, Fabio; Grossi, Massimo; Mukherjee, Debangana
2021
Local boundedness and Hölder continuity for the parabolic fractional $$p$$-Laplace equations. Zbl 1459.35053
Ding, Mengyao; Zhang, Chao; Zhou, Shulin
2021
Orlicz-Minkowski flows. Zbl 1458.53094
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
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
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
2021
On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity. Zbl 1465.35133
Chen, Sitong; Tang, Xianhua
2021
Higher integrability for variational integrals with non-standard growth. Zbl 1462.49015
Schäffner, Mathias
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
2021
The fractional $$p$$-Laplacian evolution equation in $$\mathbb{R}^N$$ in the sublinear case. Zbl 1471.35312
Vázquez, Juan Luis
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
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
2021
Schrödinger-Newton equations in dimension two via a Pohozaev-Trudinger log-weighted inequality. Zbl 1473.35287
Cassani, Daniele; Tarsi, Cristina
2021
Existence and nonexistence in the liquid drop model. Zbl 07414044
Frank, Rupert L.; Nam, Phan Thành
2021
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
2021
A nonlocal isoperimetric problem with density perimeter. Zbl 1455.49028
Alama, Stan; Bronsard, Lia; Topaloglu, Ihsan; Zuniga, Andres
2021
Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds. Zbl 1460.53052
Aiex, Nicolau S.; Hong, Han
2021
Pseudoconvexity for the special Lagrangian potential equation. Zbl 1456.35089
Harvey, F. Reese; Lawson, H. Blaine jun.
2021
$$\Gamma$$-convergence of polyconvex functionals involving $$s$$-fractional gradients to their local counterparts. Zbl 1455.49008
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
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
Global higher integrability for minimisers of convex functionals with $$(p,q)$$-growth. Zbl 1461.49017
Koch, Lukas
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
2021
Curvature estimates for a class of Hessian type equations. Zbl 1466.53007
Chu, Jianchun; Jiao, Heming
2021
Infinitely many positive solutions of nonlinear Schrödinger equations. Zbl 1465.35142
Molle, Riccardo; Passaseo, Donato
2021
Gradient estimates for multi-phase problems. Zbl 07355282
Baasandorj, Sumiya; Byun, Sun-Sig; Oh, Jehan
2021
Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008
Maestre, Faustino; Pedregal, Pablo
2021
Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations. Zbl 1472.35362
Saanouni, Tarek
2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
2021
Augmented Lagrangian methods for degenerate Hamilton-Jacobi equations. Zbl 1476.35093
Ennaji, Hamza; Igbida, Noureddine; Nguyen, Van Thanh
2021
On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation. Zbl 1458.35450
Fazly, Mostafa; Hu, Yeyao; Yang, Wen
2021
On renormalized solutions to elliptic inclusions with nonstandard growth. Zbl 1459.35155
Denkowska, Anna; Gwiazda, Piotr; Kalita, Piotr
2021
Symmetry properties of stable solutions of semilinear elliptic equations in unbounded domains. Zbl 1473.35018
Nordmann, Samuel
2021
Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model. Zbl 1458.35275
Zha, Dongbing; Liu, Jianli; Zhou, Yi
2021
Large conformal metrics with prescribed Gaussian and geodesic curvatures. Zbl 1459.35208
Battaglia, Luca; Medina, María; Pistoia, Angela
2021
$$G$$-invariant Szegő kernel asymptotics and CR reduction. Zbl 1467.32016
Hsiao, Chin-Yu; Huang, Rung-Tzung
2021
Asymptotic expansions for singular solutions of $$\Delta u+e^u=0$$ in a punctured disc. Zbl 1473.35292
Guo, Zongming; Wan, Fangshu; Yang, Yunyan
2021
Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations. Zbl 1462.35437
Dong, Hongjie; Gao, Yuan
2021
Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. Zbl 1464.32052
Kołodziej, Sławomir; Nguyen, Ngoc Cuong
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
$$f$$-extremal domains in hyperbolic space. Zbl 1467.35224
Espinar, José M.; Farina, Alberto; Mazet, Laurent
2021
A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary. Zbl 1467.35160
Ghimenti, Marco G.; Micheletti, Anna Maria
2021
Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation. Zbl 1472.35358
Jerrard, R. L.; Smets, D.
2021
Riesz transforms of a general Ornstein-Uhlenbeck semigroup. Zbl 1471.42033
Casarino, Valentina; Ciatti, Paolo; Sjögren, Peter
2021
A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers. Zbl 1471.74035
Gidoni, Paolo; Riva, Filippo
2021
A type of Brézis-Oswald problem to $$\Phi$$-Laplacian operator with strongly-singular and gradient terms. Zbl 1473.35257
Carvalho, M. L.; Goncalves, J. V.; Silva, E. D.; Santos, C. A. P.
2021
Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients. Zbl 1473.35224
da Silva, João Vitor; Nornberg, Gabrielle
2021
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### Cited by 11,180 Authors

 173 Wei, Juncheng 141 Tang, Xianhua 108 Rădulescu, Vicenţiu D. 104 Alves, Claudianor Oliveira 94 Valdinoci, Enrico 80 Papageorgiou, Nikolaos S. 76 Pistoia, Angela 75 Zou, Wenming 71 Wang, Zhi-Qiang 69 Lin, Chang-Shou 66 Byun, Sun-Sig 66 Zhang, Binlin 65 Figueiredo, Giovany Malcher 62 Musso, Monica 62 Novaga, Matteo 61 Miyagaki, Olimpio Hiroshi 61 Peng, Shuangjie 60 Ambrosio, Vincenzo 59 Mingione, Giuseppe 58 Lu, Guozhen 57 Rossi, Julio Daniel 54 Del Pino, Manuel A. 54 Do Ó, João M. Bezerra 54 Squassina, Marco 53 Dipierro, Serena 50 Chen, Sitong 49 Xiang, Mingqi 49 Yang, Minbo 45 Cianchi, Andrea 45 Jost, Jürgen 44 Wu, Tsungfang 43 Guo, Yuxia 43 Weth, Tobias 43 Yan, Shusen 42 Mielke, Alexander 42 Zhang, Fubao 39 Ambrosio, Luigi 39 Carrillo de la Plata, José Antonio 39 Fonseca, Irene 39 Molica Bisci, Giovanni 39 Wang, Changyou 38 Ding, Yanheng 38 Figalli, Alessio 38 Lei, Yutian 38 Wang, Jun 37 Fusco, Nicola 37 Sciunzi, Berardino 36 Conti, Sergio 36 Pucci, Patrizia 35 Chambolle, Antonin 35 Clapp, Mónica 35 Malchiodi, Andrea 35 Repovš, Dušan D. 35 Van Schaftingen, Jean 35 Winkert, Patrick 35 Yang, Yunyan 34 Bonheure, Denis 34 Chen, Haibo 34 Fragalà, Ilaria 34 Gigli, Nicola 34 Tang, Zhongwei 34 Zhang, Jianjun 33 Sire, Yannick 33 Sreenadh, Konijeti 33 Stefanelli, Ulisse 33 Winkler, Michael 33 Zheng, Shenzhou 32 Byeon, Jaeyoung 32 Farina, Alberto 32 Kang, Dongsheng 32 Vazquez, Juan Luis 31 Cao, Daomin 31 Dong, Hongjie 30 Bartsch, Thomas J. 30 Duzaar, Frank 30 Guo, Zongming 30 Lee, Youngae 30 Severo, Uberlandio Batista 30 Terracini, Susanna 30 Zhu, Miaomiao 29 Chtioui, Hichem 29 Ignat, Radu 29 Katzourakis, Nikolaos I. 29 Lam, Nguyen 29 Li, YanYan 29 Wang, Guofang 28 Dolbeault, Jean 28 Furtado, Marcelo Fernandes 28 Gomes, Diogo Luís Aguiar 28 Grossi, Massimo 28 Ji, Chao 28 Molle, Riccardo 28 Schikorra, Armin 28 Wang, Chunhua 28 Yang, Jianfu 28 Zhang, Zhitao 27 Dávila, Juan 27 Fuchs, Martin 27 Liu, Zuhan 27 Nguyễn Văn Hoàng ...and 11,080 more Authors
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### Cited in 620 Journals

 1,373 Calculus of Variations and Partial Differential Equations 1,093 Journal of Differential Equations 1,041 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 903 Journal of Mathematical Analysis and Applications 517 Journal of Functional Analysis 458 Archive for Rational Mechanics and Analysis 404 The Journal of Geometric Analysis 382 Discrete and Continuous Dynamical Systems 325 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 309 Communications on Pure and Applied Analysis 297 Advances in Mathematics 276 Proceedings of the American Mathematical Society 249 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 245 SIAM Journal on Mathematical Analysis 242 Journal de Mathématiques Pures et Appliquées. Neuvième Série 240 Transactions of the American Mathematical Society 233 Communications in Contemporary Mathematics 231 Journal of Mathematical Physics 231 Communications in Partial Differential Equations 231 NoDEA. Nonlinear Differential Equations and Applications 222 Annali di Matematica Pura ed Applicata. Serie Quarta 182 ZAMP. Zeitschrift für angewandte Mathematik und Physik 182 Advanced Nonlinear Studies 181 Boundary Value Problems 174 Mathematische Annalen 169 Applied Mathematics Letters 159 Complex Variables and Elliptic Equations 159 Advances in Nonlinear Analysis 156 Nonlinear Analysis. Real World Applications 147 Communications in Mathematical Physics 136 Applicable Analysis 133 Manuscripta Mathematica 125 Mathematische Zeitschrift 125 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 115 Science China. Mathematics 113 Discrete and Continuous Dynamical Systems. Series S 109 Annals of Global Analysis and Geometry 109 Comptes Rendus. Mathématique. Académie des Sciences, Paris 108 Advances in Calculus of Variations 104 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 100 Nonlinearity 100 Potential Analysis 89 Computers & Mathematics with Applications 89 Communications on Pure and Applied Mathematics 89 Journal für die Reine und Angewandte Mathematik 88 Acta Mathematica Sinica. English Series 88 Mediterranean Journal of Mathematics 87 Journal of the European Mathematical Society (JEMS) 79 Journal of Evolution Equations 77 Topological Methods in Nonlinear Analysis 77 Journal of Fixed Point Theory and Applications 76 Applied Mathematics and Optimization 74 Differential Geometry and its Applications 73 Mathematical Methods in the Applied Sciences 71 Electronic Journal of Differential Equations (EJDE) 69 Inventiones Mathematicae 68 Acta Mathematica Scientia. Series B. (English Edition) 65 Discrete and Continuous Dynamical Systems. Series B 64 Journal of Nonlinear Science 63 Abstract and Applied Analysis 62 Journal of Geometry and Physics 61 Milan Journal of Mathematics 59 Duke Mathematical Journal 59 Revista Matemática Iberoamericana 58 Journal d’Analyse Mathématique 56 Archiv der Mathematik 56 Mathematische Nachrichten 55 Acta Applicandae Mathematicae 54 Geometriae Dedicata 54 Journal of Dynamics and Differential Equations 54 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 51 Applied Mathematics and Computation 51 Results in Mathematics 51 Journal of Mathematical Sciences (New York) 50 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 49 Journal of Mathematical Fluid Mechanics 49 Journal of Elliptic and Parabolic Equations 47 International Journal of Mathematics 47 Journal of Inequalities and Applications 45 Annales Henri Poincaré 45 SN Partial Differential Equations and Applications 43 Journal of Elasticity 42 Indiana University Mathematics Journal 40 Israel Journal of Mathematics 40 Asymptotic Analysis 39 Journal of Computational Physics 39 Chinese Annals of Mathematics. Series B 39 Analysis and Mathematical Physics 38 SIAM Journal on Applied Mathematics 37 Monatshefte für Mathematik 37 Geometric and Functional Analysis. GAFA 36 Computer Methods in Applied Mechanics and Engineering 36 Rocky Mountain Journal of Mathematics 36 Physica D 36 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 36 Analysis & PDE 35 Analysis and Geometry in Metric Spaces 35 Journal of Function Spaces 34 Journal of Convex Analysis 34 AIMS Mathematics ...and 520 more Journals
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### Cited in 59 Fields

 13,270 Partial differential equations (35-XX) 3,409 Differential geometry (53-XX) 3,295 Calculus of variations and optimal control; optimization (49-XX) 2,202 Global analysis, analysis on manifolds (58-XX) 1,027 Mechanics of deformable solids (74-XX) 1,014 Functional analysis (46-XX) 881 Operator theory (47-XX) 863 Fluid mechanics (76-XX) 730 Real functions (26-XX) 694 Biology and other natural sciences (92-XX) 585 Statistical mechanics, structure of matter (82-XX) 577 Dynamical systems and ergodic theory (37-XX) 566 Ordinary differential equations (34-XX) 558 Numerical analysis (65-XX) 439 Quantum theory (81-XX) 437 Probability theory and stochastic processes (60-XX) 383 Measure and integration (28-XX) 359 Convex and discrete geometry (52-XX) 338 Potential theory (31-XX) 272 Integral equations (45-XX) 246 Functions of a complex variable (30-XX) 236 Several complex variables and analytic spaces (32-XX) 230 Optics, electromagnetic theory (78-XX) 188 Mechanics of particles and systems (70-XX) 181 Harmonic analysis on Euclidean spaces (42-XX) 180 Operations research, mathematical programming (90-XX) 156 Systems theory; control (93-XX) 137 Relativity and gravitational theory (83-XX) 121 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 112 Topological groups, Lie groups (22-XX) 110 Manifolds and cell complexes (57-XX) 95 Computer science (68-XX) 91 Combinatorics (05-XX) 91 Difference and functional equations (39-XX) 90 Classical thermodynamics, heat transfer (80-XX) 85 Information and communication theory, circuits (94-XX) 64 General topology (54-XX) 60 Geometry (51-XX) 58 Abstract harmonic analysis (43-XX) 45 Algebraic geometry (14-XX) 41 Algebraic topology (55-XX) 39 Statistics (62-XX) 35 Approximations and expansions (41-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Special functions (33-XX) 25 Geophysics (86-XX) 21 General and overarching topics; collections (00-XX) 19 Astronomy and astrophysics (85-XX) 17 History and biography (01-XX) 12 Nonassociative rings and algebras (17-XX) 11 Group theory and generalizations (20-XX) 11 Integral transforms, operational calculus (44-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 Order, lattices, ordered algebraic structures (06-XX) 3 $$K$$-theory (19-XX) 1 Field theory and polynomials (12-XX)