## 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: 2,732 Publications (since 1993) References Indexed: 2,403 Publications with 68,731 References.
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### Authors

 31 Wei, Juncheng 25 Jost, Jürgen 14 Li, Jiayu 14 Müller, Stefan 14 Wang, Changyou 13 Wang, Zhi-Qiang 13 Zhu, Miaomiao 11 Byun, Sun-Sig 11 Fonseca, Irene 11 Valdinoci, Enrico 10 Farina, Alberto 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 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 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 7 Zou, Wenming 6 Ambrosio, Luigi 6 Bartsch, Thomas J. 6 Bidaut-Veron, Marie-Françoise 6 Bildhauer, Michael 6 Braides, Andrea 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 Finster, Felix 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 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 Van Schaftingen, Jean 6 Weth, Tobias 6 Xiong, Jingang 6 Ye, Dong 6 Zhang, Lei 5 Alama, Stan 5 Andrews, Ben 5 Ball, John MacLeod 5 Bonheure, Denis 5 Bronsard, Lia 5 Bucur, Dorin ...and 2,939 more Authors
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### Fields

 1,773 Partial differential equations (35-XX) 752 Calculus of variations and optimal control; optimization (49-XX) 678 Differential geometry (53-XX) 524 Global analysis, analysis on manifolds (58-XX) 153 Mechanics of deformable solids (74-XX) 129 Functional analysis (46-XX) 112 Real functions (26-XX) 107 Operator theory (47-XX) 102 Fluid mechanics (76-XX) 86 Dynamical systems and ergodic theory (37-XX) 74 Potential theory (31-XX) 71 Ordinary differential equations (34-XX) 70 Measure and integration (28-XX) 68 Statistical mechanics, structure of matter (82-XX) 63 Convex and discrete geometry (52-XX) 53 Several complex variables and analytic spaces (32-XX) 52 Probability theory and stochastic processes (60-XX) 49 Quantum theory (81-XX) 49 Biology and other natural sciences (92-XX) 43 Functions of a complex variable (30-XX) 27 Optics, electromagnetic theory (78-XX) 25 Mechanics of particles and systems (70-XX) 23 Integral equations (45-XX) 23 Manifolds and cell complexes (57-XX) 23 Numerical analysis (65-XX) 20 Relativity and gravitational theory (83-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Systems theory; control (93-XX) 16 Operations research, mathematical programming (90-XX) 15 Combinatorics (05-XX) 14 Classical thermodynamics, heat transfer (80-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 Linear and multilinear algebra; matrix theory (15-XX) 6 Geometry (51-XX) 6 Computer science (68-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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2,274 Publications have been cited 29,235 times in 18,135 Documents Cited by Year
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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
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Standing waves with a critical frequency for nonlinear Schrödinger equations. II. Zbl 1073.35199
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Regularity for general functionals with double phase. Zbl 1394.49034
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2018
The Brezis-Nirenberg type problem involving the square root of the Laplacian. Zbl 1248.35078
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2011
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
Ground state solutions of scalar field fractional Schrödinger equations. Zbl 1330.35495
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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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Singular limits in Liouville-type equations. Zbl 1088.35067
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2005
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials. Zbl 1376.35056
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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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On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
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On semilinear elliptic equations with indefinite nonlinearities. Zbl 0809.35022
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1993
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
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2004
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
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2003
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
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Contraction of convex hypersurfaces in Euclidean space. Zbl 0805.35048
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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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1994
Prescribed scalar curvature on the $$n$$-sphere. Zbl 0843.53037
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1996
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
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1993
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
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
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2009
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
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2007
The Jacobian and the Ginzburg-Landau energy. Zbl 1034.35025
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2002
Semi-classical states for the Choquard equation. Zbl 1309.35029
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2015
Evolving convex curves. Zbl 0931.53030
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1998
Mean curvature flow singularities for mean convex surfaces. Zbl 0992.53052
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1999
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps. Zbl 0798.35139
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1993
A new approach to Sobolev spaces and connections to $$\Gamma$$-convergence. Zbl 1352.46037
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2004
Partial symmetry and asymptotic behavior for some elliptic variational problems. Zbl 1274.35026
Smets, Didier; Willem, Michel
2003
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
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2005
Double vortex condensates in the Chern-Simons-Higgs theory. Zbl 0951.58030
Nolasco, Margherita; Tarantello, Gabriella
1999
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
On an open question about functions of bounded variation. Zbl 1047.46025
Dávila, J.
2002
Finsler interpolation inequalities. Zbl 1175.49044
Ohta, Shin-ichi
2009
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle. Zbl 0812.35063
Altschuler, Steven J.; Wu, Lang F.
1994
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
2011
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
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
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in $$\mathbb {R}^3$$. Zbl 1311.35300
Wang, Zhengping; Zhou, Huan-Song
2015
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
2009
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
1993
Implicit time discretization for the mean curvature flow equation. Zbl 0821.35003
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1995
Mountain pass type solutions for quasilinear elliptic equations. Zbl 0959.35057
Clément, Ph.; García-Huidobro, M.; Manásevich, R.; Schmitt, K.
2000
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
2007
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
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2001
Infinitely many positive solutions for the nonlinear Schrödinger equations in $$\mathbb R^N$$. Zbl 1189.35106
Wei, Juncheng; Yan, Shusen
2010
Equilibrium maps between metric spaces. Zbl 0798.58021
Jost, Jürgen
1994
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
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
1993
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
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
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
2003
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
2013
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
2005
Stability of translating solutions to mean curvature flow. Zbl 1120.53041
Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix
2007
Multi-bump solutions for Choquard equation with deepening potential well. Zbl 1347.35097
Alves, Claudianor O.; Nóbrega, Alânnio B.; Yang, Minbo
2016
Local Poincaré inequalities from stable curvature conditions on metric spaces. Zbl 1250.53040
Rajala, Tapio
2012
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
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli
2017
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory. Zbl 1070.49026
Hutchinson, John E.; Tonegawa, Yoshihiro
2000
Infinitely many bound states for some nonlinear scalar field equations. Zbl 1078.35113
Cerami, G.; Devillanova, G.; Solimini, S.
2005
Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity. Zbl 1407.35216
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
2019
A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension. Zbl 1271.53064
Cao, Huai-Dong; Li, Haizhong
2013
Compactness of solutions to the Yamabe problem. II. Zbl 1229.35071
Li, YanYan; Zhang, Lei
2005
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
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Zbl 1068.35189
Giacomini, Alessandro
2005
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
Ground states for quasilinear Schrödinger equations with critical growth. Zbl 1266.35025
Liu, Xiangqing; Liu, Jiaquan; Wang, Zhi-Qiang
2013
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems. Zbl 1311.35291
Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-Qiang
2015
Conformal metrics with prescribed mean curvature on the boundary. Zbl 0867.53034
Escobar, José F.
1996
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
2011
On the Christoffel-Minkowski problem of Firey’s $$p$$-sum. Zbl 1161.35391
Hu, Changqing; Ma, Xi-Nan; Shen, Chunli
2004
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
2015
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
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
1999
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
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
A class of integral equations and approximation of $$p$$-Laplace equations. Zbl 1198.45005
Ishii, Hitoshi; Nakamura, Gou
2010
The Brezis-Nirenberg problem for the fractional $$p$$-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
2016
An optimal constant for the existence of least energy solutions of a coupled Schrödinger system. Zbl 1286.35104
Chen, Zhijie; Zou, Wenming
2013
$$C^{1,\alpha}$$ regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096
Evans, Lawrence C.; Savin, Ovidiu
2008
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
2010
Symmetry and monotonicity of least energy solutions. Zbl 1226.35041
Byeon, Jaeyoung; Jeanjean, Louis; Mariş, Mihai
2009
Jump processes as generalized gradient flows. Zbl 07453343
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
2022
On rectifiable measures in Carnot groups: representation. Zbl 07432483
Antonelli, Gioacchino; Merlo, Andrea
2022
Least energy solutions to a cooperative system of Schrödinger equations with prescribed $$L^2$$-bounds: at least $$L^2$$-critical growth. Zbl 07451515
Mederski, Jarosław; Schino, Jacopo
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
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
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 07488388
Wang, Zhong; Liu, Yue
2022
Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. Zbl 07488391
Du, Yihong; Wu, Chang-Hong
2022
Symmetric positive solutions to nonlinear Choquard equations with potentials. Zbl 07488398
Maia, Liliane; Pellacci, Benedetta; Schiera, Delia
2022
Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities. Zbl 07488409
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico
2022
A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity. Zbl 07500325
Shi, Yongjie; Yu, Chengjie
2022
The minimum problem for one-dimensional non-semicontinuous functionals. Zbl 1480.49001
Zagatti, Sandro
2022
On the structure of weak solutions to scalar conservation laws with finite entropy production. Zbl 07453342
Marconi, Elio
2022
Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Zbl 1467.35044
Fujie, Kentarou; Jiang, Jie
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
A combinatorial Yamabe problem on two and three dimensional manifolds. Zbl 1481.53020
Ge, Huabin; Xu, Xu
2021
Derivation of Darcy’s law in randomly perforated domains. Zbl 1473.35029
Giunti, A.
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
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
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
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
Uniqueness of the critical point for semi-stable solutions in $$\mathbb{R}^2$$. Zbl 1459.35212
De Regibus, Fabio; Grossi, Massimo; Mukherjee, Debangana
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
Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function. Zbl 1458.35437
Sun, Linlin; Zhu, Jingyong
2021
Regularity for parabolic equations with singular or degenerate coefficients. Zbl 1459.35054
Dong, Hongjie; Phan, Tuoc
2021
Saddle solutions for the critical Choquard equation. Zbl 1459.35216
Xia, Jiankang; Zhang, Xu
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
The fractional $$p$$-Laplacian evolution equation in $$\mathbb{R}^N$$ in the sublinear case. Zbl 1471.35312
Vázquez, Juan Luis
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
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
Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008
Maestre, Faustino; Pedregal, Pablo
2021
$$\alpha$$-Dirac-harmonic maps from closed surfaces. Zbl 1465.58008
Jost, Jürgen; Zhu, Jingyong
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
On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension. Zbl 1459.35156
Faraci, F.; Silva, K.
2021
Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model. Zbl 1458.35275
Zha, Dongbing; Liu, Jianli; Zhou, Yi
2021
Orlicz-Minkowski flows. Zbl 1458.53094
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2021
The Łojasiewicz-Simon inequality for the elastic flow. Zbl 1467.53106
Mantegazza, Carlo; Pozzetta, Marco
2021
Existence and uniqueness of bounded stable solutions to the Peierls-Nabarro model for curved dislocations. Zbl 1462.35437
Dong, Hongjie; Gao, Yuan
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
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
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
Higher integrability for variational integrals with non-standard growth. Zbl 1462.49015
Schäffner, Mathias
2021
On the long-time behavior of immortal Ricci flows. Zbl 1466.53104
Huang, Shaosai
2021
Infinitely many positive solutions of nonlinear Schrödinger equations. Zbl 1465.35142
Molle, Riccardo; Passaseo, Donato
2021
Noncoercive quasilinear elliptic operators with singular lower order terms. Zbl 1465.35228
Farroni, Fernando; Greco, Luigi; Moscariello, Gioconda; Zecca, Gabriella
2021
Existence and nonexistence in the liquid drop model. Zbl 07414044
Frank, Rupert L.; Nam, Phan Thành
2021
Optimal transport of vector measures. Zbl 1478.49042
Ciosmak, Krzysztof J.
2021
Augmented Lagrangian methods for degenerate Hamilton-Jacobi equations. Zbl 1476.35093
Ennaji, Hamza; Igbida, Noureddine; Nguyen, Van Thanh
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
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
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
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 nonlocal isoperimetric problem with density perimeter. Zbl 1455.49028
Alama, Stan; Bronsard, Lia; Topaloglu, Ihsan; Zuniga, Andres
2021
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region. Zbl 1464.35086
Felli, Veronica; Noris, Benedetta; Ognibene, Roberto
2021
A rigidity theorem for the deformed Hermitian-Yang-Mills equation. Zbl 1461.53033
Han, Xiaoli; Jin, Xishen
2021
The Schrödinger problem on the non-commutative Fisher-Rao space. Zbl 1479.49096
Monsaingeon, Léonard; Vorotnikov, Dmitry
2021
Global regularity for degenerate/singular parabolic equations involving measure data. Zbl 1460.35055
Byun, Sun-Sig; Park, Jung-Tae; Shin, Pilsoo
2021
Symmetry properties of stable solutions of semilinear elliptic equations in unbounded domains. Zbl 1473.35018
Nordmann, Samuel
2021
Collapsing of the line bundle mean curvature flow on Kähler surfaces. Zbl 1459.53069
Takahashi, Ryosuke
2021
Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour. Zbl 1459.74062
Deckelnick, Klaus; Doemeland, Marco; Grunau, Hans-Christoph
2021
Local Lipschitz bounds for solutions to certain singular elliptic equations involving the one-Laplacian. Zbl 1458.35085
Tsubouchi, Shuntaro
2021
Large conformal metrics with prescribed Gaussian and geodesic curvatures. Zbl 1459.35208
Battaglia, Luca; Medina, María; Pistoia, Angela
2021
Complete $$\lambda$$-surfaces in $$\mathbb{R}^3$$. Zbl 1458.53011
Cheng, Qing-Ming; Wei, Guoxin
2021
$$G$$-invariant Szegő kernel asymptotics and CR reduction. Zbl 1467.32016
Hsiao, Chin-Yu; Huang, Rung-Tzung
2021
New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space $$\mathbb{R}^N$$ and applications. Zbl 1458.35007
Aouaoui, Sami; Jlel, Rahma
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
Classification of blow-ups and monotonicity formula for half-Laplacian nonlinear heat equation. Zbl 1458.35071
Deng, Bin; Sire, Yannick; Wei, Juncheng; Wu, Ke
2021
Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics. Zbl 1469.58005
Bauer, Martin; Maor, Cy
2021
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. Zbl 1460.35074
Guerra, André; Koch, Lukas; Lindberg, Sauli
2021
Characterisation of homogeneous fractional Sobolev spaces. Zbl 1471.46030
Brasco, Lorenzo; Gómez-Castro, David; Vázquez, Juan Luis
2021
Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities. Zbl 1465.35247
Naimen, Daisuke
2021
The Stefan problem for the Fisher-KPP equation with unbounded initial range. Zbl 1462.35471
Ding, Weiwei; Du, Yihong; Guo, Zongming
2021
A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian. Zbl 1462.35431
Bellido, José C.; Ortega, Alejandro
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
Curvature estimates for a class of Hessian type equations. Zbl 1466.53007
Chu, Jianchun; Jiao, Heming
2021
On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity. Zbl 1465.35133
Chen, Sitong; Tang, Xianhua
2021
Well-posedness of the two-dimensional Abels-Garcke-Grün model for two-phase flows with unmatched densities. Zbl 1468.35134
Giorgini, Andrea
2021
A new transportation distance with bulk/interface interactions and flux penalization. Zbl 1471.49035
Monsaingeon, Léonard
2021
Existence and regularity of solutions for nonlinear measure data problems with general growth. Zbl 1465.35203
Byun, Sun-Sig; Cho, Namkyeong; Youn, Yeonghun
2021
Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter. Zbl 1465.35212
He, Tieshan; Guo, Pengfei; Liu, Li
2021
Perturbative estimates for the one-phase Stefan problem. Zbl 07414040
De Silva, D.; Forcillo, N.; Savin, O.
2021
Variational formulas for submanifolds of fixed degree. Zbl 07420359
Citti, Giovanna; Giovannardi, Gianmarco; Ritoré, Manuel
2021
On $$n$$-superharmonic functions and some geometric applications. Zbl 1480.31005
Ma, Shiguang; Qing, Jie
2021
Effects of corners in surface superconductivity. Zbl 1477.35251
Correggi, Michele; Giacomelli, Emanuela L.
2021
$$f$$-extremal domains in hyperbolic space. Zbl 1467.35224
Espinar, José M.; Farina, Alberto; Mazet, Laurent
2021
A spectral shape optimization problem with a nonlocal competing term. Zbl 1469.49043
Mazzoleni, Dario; Ruffini, Berardo
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
Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation. Zbl 1472.35358
Jerrard, R. L.; Smets, D.
2021
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups. Zbl 1470.53038
Farkas, Csaba; Kristály, Alexandru; Mester, Ágnes
2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
2021
Riesz transforms of a general Ornstein-Uhlenbeck semigroup. Zbl 1471.42033
Casarino, Valentina; Ciatti, Paolo; Sjögren, Peter
2021
Isolated singularities for the $$n$$-Liouville equation. Zbl 1479.35479
Esposito, Pierpaolo
2021
Superharmonicity of curvature function for the convex level sets of harmonic functions. Zbl 1473.35181
Ma, Xi-Nan; Zhang, Wei
2021
Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations. Zbl 1477.35191
Ding, Yanheng; Dong, Xiaojing; Guo, Qi
2021
End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains. Zbl 1475.35082
Adimurthi, Karthik; Byun, Sun-Sig; Park, Jung-Tae
2021
...and 1488 more Documents
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### Cited by 10,677 Authors

 168 Wei, Juncheng 133 Tang, Xianhua 100 Alves, Claudianor Oliveira 96 Rădulescu, Vicenţiu D. 93 Valdinoci, Enrico 74 Papageorgiou, Nikolaos S. 74 Pistoia, Angela 71 Wang, Zhi-Qiang 69 Zou, Wenming 68 Lin, Chang-Shou 64 Figueiredo, Giovany Malcher 63 Zhang, Binlin 62 Byun, Sun-Sig 61 Musso, Monica 60 Miyagaki, Olimpio Hiroshi 59 Mingione, Giuseppe 59 Peng, Shuangjie 58 Ambrosio, Vincenzo 58 Novaga, Matteo 57 Rossi, Julio Daniel 54 Del Pino, Manuel A. 54 Lu, Guozhen 53 Do Ó, João M. Bezerra 53 Squassina, Marco 52 Dipierro, Serena 47 Chen, Sitong 47 Xiang, Mingqi 46 Yang, Minbo 45 Jost, Jürgen 44 Cianchi, Andrea 43 Yan, Shusen 42 Guo, Yuxia 42 Mielke, Alexander 42 Wu, Tsungfang 41 Weth, Tobias 40 Zhang, Fubao 39 Ambrosio, Luigi 38 Wang, Changyou 38 Wang, Jun 37 Figalli, Alessio 37 Fonseca, Irene 37 Fusco, Nicola 37 Lei, Yutian 37 Molica Bisci, Giovanni 36 Carrillo de la Plata, José Antonio 36 Conti, Sergio 36 Ding, Yanheng 34 Bonheure, Denis 34 Clapp, Mónica 34 Fragalà, Ilaria 34 Pucci, Patrizia 34 Tang, Zhongwei 33 Chambolle, Antonin 33 Gigli, Nicola 33 Malchiodi, Andrea 33 Repovš, Dušan D. 33 Van Schaftingen, Jean 32 Byeon, Jaeyoung 32 Chen, Haibo 32 Kang, Dongsheng 32 Sciunzi, Berardino 32 Sreenadh, Konijeti 32 Stefanelli, Ulisse 32 Vazquez, Juan Luis 32 Zhang, Jianjun 31 Cao, Daomin 31 Farina, Alberto 31 Winkler, Michael 31 Yang, Yunyan 30 Bartsch, Thomas J. 30 Duzaar, Frank 30 Guo, Zongming 30 Lee, Youngae 30 Sire, Yannick 30 Winkert, Patrick 29 Ignat, Radu 29 Katzourakis, Nikolaos I. 29 Li, YanYan 29 Severo, Uberlandio Batista 29 Terracini, Susanna 29 Wang, Guofang 29 Zheng, Shenzhou 29 Zhu, Miaomiao 28 Dolbeault, Jean 28 Furtado, Marcelo Fernandes 28 Gomes, Diogo Luís Aguiar 28 Grossi, Massimo 28 Lam, Nguyen 28 Schikorra, Armin 28 Zhang, Zhitao 27 Dávila, Juan 27 Dong, Hongjie 27 Fuchs, Martin 27 Ji, Chao 27 Nguyễn Văn Hoàng 27 Peral Alonso, Ireneo 27 Ruf, Bernhard 27 Yang, Jianfu 26 Chtioui, Hichem 26 Deng, Yinbin ...and 10,577 more Authors
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### Cited in 604 Journals

 1,320 Calculus of Variations and Partial Differential Equations 1,052 Journal of Differential Equations 1,004 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 871 Journal of Mathematical Analysis and Applications 495 Journal of Functional Analysis 446 Archive for Rational Mechanics and Analysis 371 The Journal of Geometric Analysis 363 Discrete and Continuous Dynamical Systems 325 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 309 Communications on Pure and Applied Analysis 289 Advances in Mathematics 268 Proceedings of the American Mathematical Society 238 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 232 Transactions of the American Mathematical Society 232 Journal de Mathématiques Pures et Appliquées. Neuvième Série 231 Journal of Mathematical Physics 228 SIAM Journal on Mathematical Analysis 225 Communications in Contemporary Mathematics 224 Communications in Partial Differential Equations 223 NoDEA. Nonlinear Differential Equations and Applications 209 Annali di Matematica Pura ed Applicata. Serie Quarta 172 Boundary Value Problems 165 ZAMP. Zeitschrift für angewandte Mathematik und Physik 165 Advanced Nonlinear Studies 161 Mathematische Annalen 157 Applied Mathematics Letters 146 Advances in Nonlinear Analysis 144 Communications in Mathematical Physics 144 Nonlinear Analysis. Real World Applications 144 Complex Variables and Elliptic Equations 126 Manuscripta Mathematica 119 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 117 Mathematische Zeitschrift 116 Applicable Analysis 109 Science China. Mathematics 107 Comptes Rendus. Mathématique. Académie des Sciences, Paris 107 Discrete and Continuous Dynamical Systems. Series S 100 Nonlinearity 100 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 99 Advances in Calculus of Variations 98 Potential Analysis 97 Annals of Global Analysis and Geometry 89 Computers & Mathematics with Applications 89 Communications on Pure and Applied Mathematics 86 Journal of the European Mathematical Society (JEMS) 84 Acta Mathematica Sinica. English Series 84 Mediterranean Journal of Mathematics 82 Journal für die Reine und Angewandte Mathematik 76 Journal of Fixed Point Theory and Applications 74 Journal of Evolution Equations 73 Mathematical Methods in the Applied Sciences 71 Differential Geometry and its Applications 69 Applied Mathematics and Optimization 68 Topological Methods in Nonlinear Analysis 66 Inventiones Mathematicae 62 Abstract and Applied Analysis 59 Journal of Geometry and Physics 59 Milan Journal of Mathematics 58 Journal of Nonlinear Science 58 Discrete and Continuous Dynamical Systems. Series B 57 Duke Mathematical Journal 56 Mathematische Nachrichten 56 Revista Matemática Iberoamericana 55 Archiv der Mathematik 55 Acta Applicandae Mathematicae 53 Journal d’Analyse Mathématique 52 Geometriae Dedicata 51 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 50 Results in Mathematics 50 Journal of Mathematical Sciences (New York) 49 Applied Mathematics and Computation 49 Journal of Dynamics and Differential Equations 47 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 47 Electronic Journal of Differential Equations (EJDE) 46 Journal of Inequalities and Applications 45 International Journal of Mathematics 44 Annales Henri Poincaré 43 Journal of Elasticity 43 Journal of Elliptic and Parabolic Equations 43 SN Partial Differential Equations and Applications 41 Indiana University Mathematics Journal 41 Journal of Mathematical Fluid Mechanics 39 Chinese Annals of Mathematics. Series B 37 Israel Journal of Mathematics 37 Monatshefte für Mathematik 36 Geometric and Functional Analysis. GAFA 36 Analysis & PDE 35 Journal of Computational Physics 35 Rocky Mountain Journal of Mathematics 35 Physica D 35 SIAM Journal on Applied Mathematics 35 Analysis and Geometry in Metric Spaces 34 Asymptotic Analysis 34 Journal of Convex Analysis 33 Computer Methods in Applied Mechanics and Engineering 33 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 32 Pacific Journal of Mathematics 32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 32 Journal of Function Spaces 31 Analysis and Mathematical Physics ...and 504 more Journals
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### Cited in 59 Fields

 12,503 Partial differential equations (35-XX) 3,246 Differential geometry (53-XX) 3,166 Calculus of variations and optimal control; optimization (49-XX) 2,120 Global analysis, analysis on manifolds (58-XX) 985 Mechanics of deformable solids (74-XX) 959 Functional analysis (46-XX) 835 Operator theory (47-XX) 795 Fluid mechanics (76-XX) 678 Real functions (26-XX) 623 Biology and other natural sciences (92-XX) 566 Statistical mechanics, structure of matter (82-XX) 550 Ordinary differential equations (34-XX) 547 Dynamical systems and ergodic theory (37-XX) 516 Numerical analysis (65-XX) 430 Quantum theory (81-XX) 415 Probability theory and stochastic processes (60-XX) 364 Measure and integration (28-XX) 333 Convex and discrete geometry (52-XX) 318 Potential theory (31-XX) 257 Integral equations (45-XX) 232 Functions of a complex variable (30-XX) 219 Several complex variables and analytic spaces (32-XX) 219 Optics, electromagnetic theory (78-XX) 182 Mechanics of particles and systems (70-XX) 172 Operations research, mathematical programming (90-XX) 169 Harmonic analysis on Euclidean spaces (42-XX) 152 Systems theory; control (93-XX) 131 Relativity and gravitational theory (83-XX) 116 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 106 Topological groups, Lie groups (22-XX) 106 Manifolds and cell complexes (57-XX) 90 Computer science (68-XX) 85 Information and communication theory, circuits (94-XX) 84 Difference and functional equations (39-XX) 84 Classical thermodynamics, heat transfer (80-XX) 83 Combinatorics (05-XX) 63 General topology (54-XX) 58 Geometry (51-XX) 54 Abstract harmonic analysis (43-XX) 41 Algebraic geometry (14-XX) 40 Algebraic topology (55-XX) 37 Statistics (62-XX) 31 Approximations and expansions (41-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Special functions (33-XX) 20 General and overarching topics; collections (00-XX) 20 Geophysics (86-XX) 19 Astronomy and astrophysics (85-XX) 17 History and biography (01-XX) 12 Nonassociative rings and algebras (17-XX) 11 Integral transforms, operational calculus (44-XX) 9 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 $$K$$-theory (19-XX) 1 Field theory and polynomials (12-XX)