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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: https://link.springer.com/journal/526/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 3,170 Publications (since 1993)
References Indexed: 2,840 Publications with 84,810 References.
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...and 138 more Volumes
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Authors

33 Wei, Juncheng
26 Jost, Jürgen
16 Wang, Zhi-Qiang
15 Byun, Sun-Sig
15 Li, Jiayu
15 Müller, Stefan
14 Wang, Changyou
14 Zhu, Miaomiao
12 Dong, Hongjie
12 Lu, Guozhen
12 Valdinoci, Enrico
11 Farina, Alberto
11 Fonseca, Irene
11 Hong, Minchun
11 Pistoia, Angela
11 Smoczyk, Knut
10 Dal Maso, Gianni
10 Otto, Felix
10 Vazquez, Juan Luis
10 Zou, Wenming
9 Cao, Daomin
9 Conti, Sergio
9 Del Pino, Manuel A.
9 Fusco, Nicola
9 Liu, Lei
9 Passaseo, Donato
9 Peng, Shuangjie
9 Rădulescu, Vicenţiu D.
9 Véron, Laurent
9 Wang, Guofang
9 Yan, Shusen
8 Ambrosio, Luigi
8 Byeon, Jaeyoung
8 Do Ó, João M. Bezerra
8 Frank, Rupert L.
8 Fuchs, Martin
8 Li, YanYan
8 Novaga, Matteo
8 Rabinowitz, Paul Henry
8 Squassina, Marco
8 Terracini, Susanna
8 Topping, Peter Miles
8 Xu, Xu
7 Alves, Claudianor Oliveira
7 Bidaut-Veron, Marie-Françoise
7 Braides, Andrea
7 Bucur, Dorin
7 Cheng, Qingming
7 Clapp, Mónica
7 Ding, Yanheng
7 Du, Yihong
7 Evans, Lawrence Craig
7 Fall, Mouhamed Moustapha
7 Felmer, Patricio L.
7 Finster, Felix
7 Garroni, Adriana
7 Gazzola, Filippo
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 Savin, Ovidiu V.
7 Sun, Linlin
7 Tanaka, Kazunaga
7 Tonegawa, Yoshihiro
7 Van Schaftingen, Jean
7 von der Mosel, Heiko
7 Weth, Tobias
7 Xin, Yuanlong
7 Yang, Yunyan
6 Bartsch, Thomas J.
6 Bauer, Martin
6 Bildhauer, Michael
6 Bulíček, Miroslav
6 Buttazzo, Giuseppe
6 Cannarsa, Piermarco
6 Carrillo de la Plata, José Antonio
6 Dacorogna, Bernard
6 Dipierro, Serena
6 Duzaar, Frank
6 Figalli, Alessio
6 Giaquinta, Mariano
6 Gui, Changfeng
6 Guo, Yuxia
6 Guo, Zongming
6 Hebey, Emmanuel
6 Hildebrandt, Stefan
6 Ignat, Radu
6 Kristensen, Jan
6 Liu, Hui
6 Luo, Peng
6 Mielke, Alexander
6 Molle, Riccardo
6 Montecchiari, Piero
...and 3,417 more Authors
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Fields

2,072 Partial differential equations (35-XX)
843 Calculus of variations and optimal control; optimization (49-XX)
769 Differential geometry (53-XX)
565 Global analysis, analysis on manifolds (58-XX)
175 Mechanics of deformable solids (74-XX)
168 Functional analysis (46-XX)
152 Fluid mechanics (76-XX)
136 Real functions (26-XX)
132 Operator theory (47-XX)
94 Dynamical systems and ergodic theory (37-XX)
86 Potential theory (31-XX)
80 Convex and discrete geometry (52-XX)
77 Measure and integration (28-XX)
75 Ordinary differential equations (34-XX)
75 Statistical mechanics, structure of matter (82-XX)
68 Several complex variables and analytic spaces (32-XX)
64 Quantum theory (81-XX)
63 Biology and other natural sciences (92-XX)
61 Probability theory and stochastic processes (60-XX)
50 Functions of a complex variable (30-XX)
33 Mechanics of particles and systems (70-XX)
32 Optics, electromagnetic theory (78-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
26 Manifolds and cell complexes (57-XX)
26 Numerical analysis (65-XX)
25 Integral equations (45-XX)
25 Relativity and gravitational theory (83-XX)
20 Combinatorics (05-XX)
19 Systems theory; control (93-XX)
17 Classical thermodynamics, heat transfer (80-XX)
16 Operations research, mathematical programming (90-XX)
15 Difference and functional equations (39-XX)
13 Topological groups, Lie groups (22-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Algebraic geometry (14-XX)
10 General topology (54-XX)
9 Geometry (51-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Computer science (68-XX)
6 Approximations and expansions (41-XX)
6 Information and communication theory, circuits (94-XX)
5 Special functions (33-XX)
5 Abstract harmonic analysis (43-XX)
5 Geophysics (86-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Integral transforms, operational calculus (44-XX)

Publications by Year

Citations contained in zbMATH Open

2,734 Publications have been cited 41,163 times in 24,347 Documents Cited by Year
Local mountain passes for semilinear elliptic problems in unbounded domains. Zbl 0844.35032
del Pino, Manuel A.; Felmer, Patricio L.
489
1996
On the existence of soliton solutions to quasilinear Schrödinger equations. Zbl 1052.35060
Poppenberg, Markus; Schmitt, Klaus; Wang, Zhi-Qiang
302
2002
Regularity for general functionals with double phase. Zbl 1394.49034
Baroni, Paolo; Colombo, Maria; Mingione, Giuseppe
286
2018
Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range. Zbl 0820.35060
de Figueiredo, D. G.; Miyagaki, O. H.; Ruf, B.
285
1995
Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\). Zbl 1329.35338
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
260
2015
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. Zbl 1296.35064
Palatucci, Giampiero; Pisante, Adriano
210
2014
Fractional eigenvalues. Zbl 1292.35193
Lindgren, Erik; Lindqvist, Peter
197
2014
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
182
2015
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials. Zbl 1376.35056
Tang, X. H.; Chen, Sitong
180
2017
Standing waves with a critical frequency for nonlinear Schrödinger equations. II. Zbl 1073.35199
Byeon, Jaeyoung; Wang, Zhi-Qiang
174
2003
Semilinear elliptic equations with singular nonlinearities. Zbl 1187.35081
Boccardo, Lucio; Orsina, Luigi
173
2010
The Brezis-Nirenberg type problem involving the square root of the Laplacian. Zbl 1248.35078
Tan, Jinggang
170
2011
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
169
2010
Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014
Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric
165
1993
Ground state solutions of scalar field fractional Schrödinger equations. Zbl 1330.35495
Molica Bisci, Giovanni; Rădulescu, Vicenţiu D.
164
2015
Quasilinear asymptotically periodic Schrödinger equations with critical growth. Zbl 1223.35290
Silva, Elves A. B.; Vieira, Gilberto F.
148
2010
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
144
2005
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
del Pino, Manuel; Felmer, Patricio; Musso, Monica
144
2003
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
Benci, Vieri; Cerami, Giovanna
141
1994
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
136
1995
The scalar curvature equation on 2- and 3-spheres. Zbl 0822.35043
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul C.
135
1993
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
133
1996
Contraction of convex hypersurfaces in Euclidean space. Zbl 0805.35048
Andrews, Ben
132
1994
On semilinear elliptic equations with indefinite nonlinearities. Zbl 0809.35022
Alama, Stanley; Tarantello, Gabriella
131
1993
Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities. Zbl 1366.35075
Cao, Xinru; Lankeit, Johannes
129
2016
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
127
2015
Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019
Crandall, M. G.; Evans, L. C.; Gariepy, R. F.
125
2001
Global existence of solutions of the simplified Ericksen-Leslie system in dimension two. Zbl 1213.35014
Hong, Min-Chun
122
2011
Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities. Zbl 1060.35012
Jeanjean, Louis; Tanaka, Kazunaga
122
2004
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Zbl 1172.35035
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe
121
2009
Construction of singular limits for a semilinear elliptic equation in dimension 2. Zbl 0890.35047
Baraket, Sami; Pacard, Frank
121
1998
Bound states for semilinear Schrödinger equations with sign-changing potential. Zbl 1119.35082
Ding, Yanheng; Szulkin, Andrzej
119
2007
Finsler interpolation inequalities. Zbl 1175.49044
Ohta, Shin-ichi
119
2009
A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence. Zbl 1352.46037
Ponce, Augusto C.
117
2004
On an open question about functions of bounded variation. Zbl 1047.46025
Dávila, J.
117
2002
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
116
2009
Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\). Zbl 1311.35300
Wang, Zhengping; Zhou, Huan-Song
113
2015
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle. Zbl 0812.35063
Altschuler, Steven J.; Wu, Lang F.
112
1994
The Jacobian and the Ginzburg-Landau energy. Zbl 1034.35025
Jerrard, Robert L.; Soner, Halil Mete
110
2002
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.
108
2016
Mean curvature flow singularities for mean convex surfaces. Zbl 0992.53052
Huisken, Gerhard; Sinestrari, Carlo
106
1999
Evolving convex curves. Zbl 0931.53030
Andrews, Ben
105
1998
Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents. Zbl 1328.35046
He, Yi; Li, Gongbao
104
2015
Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143
Caffarelli, Luis; Valdinoci, Enrico
102
2011
A priori estimates for integro-differential operators with measurable kernels. Zbl 1158.35019
Kassmann, Moritz
101
2009
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps. Zbl 0798.35139
Guo, Boling; Hong, Min-Chun
98
1993
Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\). Zbl 1189.35106
Wei, Juncheng; Yan, Shusen
97
2010
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
96
2005
Implicit time discretization for the mean curvature flow equation. Zbl 0821.35003
Luckhaus, Stephan; Sturzenhecker, Thomas
95
1995
Multi-bump solutions for Choquard equation with deepening potential well. Zbl 1347.35097
Alves, Claudianor O.; Nóbrega, Alânnio B.; Yang, Minbo
95
2016
Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Zbl 1123.35015
Ambrosetti, A.; Colorado, E.; Ruiz, D.
93
2007
On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038
Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank
93
2008
Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity. Zbl 1407.35216
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
92
2019
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
91
2008
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
91
1993
Partial symmetry and asymptotic behavior for some elliptic variational problems. Zbl 1274.35026
Smets, Didier; Willem, Michel
91
2003
Local Poincaré inequalities from stable curvature conditions on metric spaces. Zbl 1250.53040
Rajala, Tapio
90
2012
Double vortex condensates in the Chern-Simons-Higgs theory. Zbl 0951.58030
Nolasco, Margherita; Tarantello, Gabriella
89
1999
Stability of translating solutions to mean curvature flow. Zbl 1120.53041
Clutterbuck, Julie; Schnürer, Oliver C.; Schulze, Felix
88
2007
Solutions of perturbed Schrödinger equations with critical nonlinearity. Zbl 1206.35102
Ding, Yanheng; Lin, Fanghua
88
2007
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
88
2001
A new class of transport distances between measures. Zbl 1157.49042
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe
88
2009
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
86
2012
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli
86
2017
Multiple normalized solutions for a competing system of Schrödinger equations. Zbl 1409.35076
Bartsch, Thomas; Soave, Nicola
85
2019
Mountain pass type solutions for quasilinear elliptic equations. Zbl 0959.35057
Clément, Ph.; García-Huidobro, M.; Manásevich, R.; Schmitt, K.
83
2000
Solitary waves for a class of quasilinear Schrödinger equations in dimension two. Zbl 1194.35118
do Ó, João Marcos; Severo, Uberlandio
83
2010
Equilibrium maps between metric spaces. Zbl 0798.58021
Jost, Jürgen
82
1994
The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian. Zbl 1361.35198
Mosconi, Sunra; Perera, Kanishka; Squassina, Marco; Yang, Yang
82
2016
Riesz potential estimates for a general class of quasilinear equations. Zbl 1318.35041
Baroni, Paolo
82
2015
Multiple mixed states of nodal solutions for nonlinear Schrödinger systems. Zbl 1311.35291
Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-Qiang
81
2015
The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps. Zbl 1142.35433
Duzaar, Frank; Mingione, Giuseppe
80
2004
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
79
2013
The extremal solution for the fractional Laplacian. Zbl 1301.35204
Ros-Oton, Xavier; Serra, Joaquim
77
2014
Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. Zbl 0838.35035
Chabrowski, J.
76
1995
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Zbl 1068.35189
Giacomini, Alessandro
76
2005
A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension. Zbl 1271.53064
Cao, Huai-Dong; Li, Haizhong
76
2013
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
75
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
75
2015
Existence results for double phase implicit obstacle problems involving multivalued operators. Zbl 1453.35070
Zeng, Shengda; Bai, Yunru; Gasiński, Leszek; Winkert, Patrick
75
2020
Non radial positive solution for the Hénon equation with critical growth. Zbl 1207.35147
Serra, Enrico
74
2005
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory. Zbl 1070.49026
Hutchinson, John E.; Tonegawa, Yoshihiro
72
2000
Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities. Zbl 1395.35193
He, Xiaoming; Zou, Wenming
72
2016
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
71
1997
Multiple solutions to logarithmic Schrödinger equations with periodic potential. Zbl 1326.35358
Squassina, Marco; Szulkin, Andrzej
71
2015
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
70
2003
Infinitely many bound states for some nonlinear scalar field equations. Zbl 1078.35113
Cerami, G.; Devillanova, G.; Solimini, S.
70
2005
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.
70
2002
Ground states for quasilinear Schrödinger equations with critical growth. Zbl 1266.35025
Liu, Xiangqing; Liu, Jiaquan; Wang, Zhi-Qiang
70
2013
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
69
1993
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
67
2011
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. Zbl 1361.35191
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino
66
2016
On the Christoffel-Minkowski problem of Firey’s \(p\)-sum. Zbl 1161.35391
Hu, Changqing; Ma, Xi-Nan; Shen, Chunli
65
2004
Optimal decay of extremals for the fractional Sobolev inequality. Zbl 1350.46024
Brasco, Lorenzo; Mosconi, Sunra; Squassina, Marco
65
2016
NLS ground states on graphs. Zbl 1330.35484
Adami, Riccardo; Serra, Enrico; Tilli, Paolo
65
2015
An optimal constant for the existence of least energy solutions of a coupled Schrödinger system. Zbl 1286.35104
Chen, Zhijie; Zou, Wenming
65
2013
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
65
2010
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
64
2000
Conformal metrics with prescribed mean curvature on the boundary. Zbl 0867.53034
Escobar, José F.
64
1996
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
63
1999
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps. Zbl 07782497
Fu, Xin; Hein, Hans-Joachim; Jiang, Xumin
1
2024
An existence result for the Kazdan-Warner equation with a sign-changing prescribed function. Zbl 07804707
Sun, Linlin; Zhu, Jingyong
1
2024
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations. Zbl 1505.35072
Garain, Prashanta; Lindgren, Erik
11
2023
Local Hölder regularity for nonlocal equations with variable powers. Zbl 1507.35330
Ok, Jihoon
8
2023
Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1514.46025
Dai, Feng; Lin, Xiaosheng; Yang, Dachun; Yuan, Wen; Zhang, Yangyang
8
2023
Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces. Zbl 1508.46024
Brazke, Denis; Schikorra, Armin; Yung, Po-Lam
6
2023
Bourgain-Brezis-Mironescu-Maz’ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation. Zbl 1508.46026
Domínguez, Oscar; Milman, Mario
6
2023
Upper heat kernel estimates for nonlocal operators via Aronson’s method. Zbl 1505.35241
Kassmann, Moritz; Weidner, Marvin
6
2023
Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems. Zbl 1519.35107
Bartsch, Thomas; Li, Houwang; Zou, Wenming
6
2023
Boundedness of non-local operators with spatially dependent coefficients and \(L_p\)-estimates for non-local equations. Zbl 1505.35349
Dong, Hongjie; Jung, Pilgyu; Kim, Doyoon
5
2023
Stability estimates for the complex Monge-Ampère and Hessian equations. Zbl 1504.32098
Guo, Bin; Phong, Duong H.; Tong, Freid
5
2023
The global curvature estimate for the \(n - 2\) Hessian equation. Zbl 1525.35124
Ren, Changyu; Wang, Zhizhang
4
2023
Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials. Zbl 1506.35093
Chen, Lu; Lu, Guozhen; Zhu, Maochun
4
2023
Lifespan estimates for semilinear wave equations with space dependent damping and potential. Zbl 1506.35021
Lai, Ning-An; Liu, Mengyun; Tu, Ziheng; Wang, Chengbo
4
2023
Long time behaviour of the discrete volume preserving mean curvature flow in the flat torus. Zbl 1528.53088
De Gennaro, Daniele; Kubin, Anna
4
2023
Incompressible impinging jet flow with gravity. Zbl 1514.76011
Cheng, Jianfeng; Du, Lili; Xin, Zhouping
4
2023
Nonlinear nonlocal Douglas identity. Zbl 1516.31025
Bogdan, Krzysztof; Grzywny, Tomasz; Pietruska-Pałuba, Katarzyna; Rutkowski, Artur
4
2023
Upper and lower bounds for the Dunkl heat kernel. Zbl 1512.44006
Dziubański, Jacek; Hejna, Agnieszka
3
2023
On torsional rigidity and ground-state energy of compact quantum graphs. Zbl 1504.35603
Mugnolo, Delio; Plümer, Marvin
3
2023
Interior Hessian estimates for a class of Hessian type equations. Zbl 1509.35075
Chen, Chuanqiang; Dong, Weisong; Han, Fei
3
2023
Density of Lipschitz functions in energy. Zbl 1514.46028
Eriksson-Bique, Sylvester
3
2023
Sobolev estimates for fractional parabolic equations with space-time non-local operators. Zbl 1507.35056
Dong, Hongjie; Liu, Yanze
3
2023
Convergence rate of general entropic optimal transport costs. Zbl 1514.49022
Carlier, Guillaume; Pegon, Paul; Tamanini, Luca
3
2023
Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity. Zbl 1507.35060
Fang, Yuzhou; Zhang, Chao
3
2023
Mixed local and nonlocal equations with measure data. Zbl 1509.31022
Byun, Sun-Sig; Song, Kyeong
3
2023
Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces. Zbl 07748708
Zhu, Chenfeng; Yang, Dachun; Yuan, Wen
2
2023
Generic uniqueness of optimal transportation networks. Zbl 1528.49034
Caldini, Gianmarco; Marchese, Andrea; Steinbrüchel, Simone
2
2023
A continuum model for brittle nanowires derived from an atomistic description by \(\Gamma \)-convergence. Zbl 07748717
Schmidt, Bernd; Zeman, Jiří
2
2023
Regularity theory for non-autonomous problems with a priori assumptions. Zbl 07756896
Hästö, Peter; Ok, Jihoon
2
2023
A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Zbl 1521.35053
Ahn, Jaewook; Winkler, Michael
2
2023
Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations. Zbl 1519.35018
Nečasová, Šárka; Oschmann, Florian
2
2023
Scalar and mean curvature comparison via \(\mu\)-bubbles. Zbl 1525.53043
Räde, Daniel
2
2023
On evolutionary problems with a-priori bounded gradients. Zbl 1518.35450
Bulíček, Miroslav; Hruška, David; Málek, Josef
2
2023
\(\Gamma\)-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals. Zbl 1518.49016
Bach, Annika; Marziani, Roberta; Zeppieri, Caterina Ida
2
2023
An integer degree for asymptotically conical self-expanders. Zbl 07716573
Bernstein, Jacob; Wang, Lu
2
2023
Integral representation and \(\Gamma\)-convergence for free-discontinuity problems with \(p(\cdot)\)-growth. Zbl 1522.49012
Scilla, Giovanni; Solombrino, Francesco; Stroffolini, Bianca
2
2023
On the existence of optimizers for time-frequency concentration problems. Zbl 1504.94058
Nicola, Fabio; Romero, José Luis; Trapasso, S. Ivan
2
2023
On subhomogeneous indefinite \(p\)-Laplace equations in the supercritical spectral interval. Zbl 1505.35219
Bobkov, Vladimir; Tanaka, Mieko
2
2023
A two-dimensional Keller-Segel-Navier-Stokes system with logarithmic sensitivity: generalized solutions and classical solutions. Zbl 1504.35129
Liu, Ji
2
2023
Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. Zbl 1510.46015
Ambrosio, Luigi; Nicolussi Golo, Sebastiano; Serra Cassano, Francesco
2
2023
From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials. Zbl 1503.35016
Carrillo, José A.; Shu, Ruiwen
2
2023
Optimal measure transportation with respect to non-traditional costs. Zbl 1504.49061
Artstein-Avidan, S.; Sadovsky, S.; Wyczesany, K.
2
2023
Harnack’s estimate for a mixed local-nonlocal doubly nonlinear parabolic equation. Zbl 1507.35058
Nakamura, Kenta
2
2023
Principal spectral curves for Lane-Emden fully nonlinear type systems and applications. Zbl 1509.35169
Moreira dos Santos, Ederson; Nornberg, Gabrielle; Schiera, Delia; Tavares, Hugo
2
2023
Space-time integral currents of bounded variation. Zbl 1504.49060
Rindler, Filip
2
2023
Absence of positive eigenvalues of magnetic Schrödinger operators. Zbl 1515.35225
Avramska-Lukarska, Silvana; Hundertmark, Dirk; Kovařík, Hynek
2
2023
Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces. Zbl 1506.35054
Barletta, Giuseppina; Cianchi, Andrea; Marino, Greta
2
2023
On the second boundary value problem for Lagrangian mean curvature equation. Zbl 1508.53083
Wang, Chong; Huang, Rongli; Bao, Jiguang
2
2023
A Bochner formula on path space for the Ricci flow. Zbl 1509.53105
Kennedy, Christopher
2
2023
A planar Schrödinger-Newton system with Trudinger-Moser critical growth. Zbl 1511.35327
Liu, Zhisu; Rădulescu, Vicenţiu D.; Zhang, Jianjun
2
2023
Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics. Zbl 1511.35295
Zhang, Junyan
2
2023
The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems. Zbl 1516.35518
Kar, Manas; Railo, Jesse; Zimmermann, Philipp
2
2023
Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension. Zbl 1517.35240
De Nitti, Nicola; König, Tobias
2
2023
Front propagation in both directions and coexistence of traveling fronts and pulses. Zbl 1518.34054
Chen, Chao-Nien; Choi, Y. S.
2
2023
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2
2023
A non-local quasi-linear ground state representation and criticality theory. Zbl 1516.35144
Fischer, Florian
2
2023
Evolution driven by the infinity fractional Laplacian. Zbl 1520.35161
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R.; Vázquez, Juan Luis
1
2023
Symmetric matrices, signed graphs, and nodal domain theorems. Zbl 1512.05169
Ge, Chuanyuan; Liu, Shiping
1
2023
Stochastic homogenization of degenerate integral functionals with linear growth. Zbl 1521.49014
Ruf, Matthias; Zeppieri, Caterina Ida
1
2023
On \(p\)-harmonic self-maps of spheres. Zbl 1526.58003
Branding, Volker; Siffert, Anna
1
2023
Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source. Zbl 1512.35120
Lenz, Daniel; Schmidt, Marcel; Zimmermann, Ian
1
2023
Steady-state Navier-Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate. Zbl 07748710
Sperone, Gianmarco
1
2023
Derivation of the 1-D Groma-Balogh equations from the Peierls-Nabarro model. Zbl 07748716
Patrizi, Stefania; Sangsawang, Tharathep
1
2023
On the existence of closed \(C^{1, 1}\) curves of constant curvature. Zbl 1527.53002
Ketover, Daniel; Liokumovich, Yevgeny
1
2023
Homogenization for space-time-dependent KPP reaction-diffusion equations and G-equations. Zbl 1526.35034
Zhang, Yuming Paul; Zlatoš, Andrej
1
2023
Desingularization of 3D steady Euler equations with helical symmetry. Zbl 1527.35232
Cao, Daomin; Wan, Jie
1
2023
Normalized solutions for Schrödinger equations with mixed dispersion and critical exponential growth in \(\mathbb{R}^2\). Zbl 1528.35036
Chen, Sitong; Tang, Xianhua
1
2023
Existence and orbital stability/instability of standing waves with prescribed mass for the \(L^2\)-supercritical NLS in bounded domains and exterior domains. Zbl 1519.35176
Song, Linjie
1
2023
Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions. Zbl 1518.49052
Bresciani, Marco
1
2023
Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions. Zbl 1518.35024
Gmeineder, Franz; Lewintan, Peter; Neff, Patrizio
1
2023
Quantitative uniqueness for fractional heat type operators. Zbl 1518.35008
Arya, Vedansh; Banerjee, Agnid
1
2023
Principal spectral theory in multigroup age-structured models with nonlocal diffusion. Zbl 1518.35512
Kang, Hao; Ruan, Shigui
1
2023
Nonlocal estimates for the volume preserving mean curvature flow and applications. Zbl 1520.53082
Lambert, Ben; Mäder-Baumdicker, Elena
1
2023
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson’s inequalities. Zbl 07727384
Sodini, Giacomo Enrico
1
2023
Optimal regularity of isoperimetric sets with Hölder densities. Zbl 1523.49044
Beck, Lisa; Cinti, Eleonora; Seis, Christian
1
2023
A cross-diffusion system obtained via (convex) relaxation in the JKO scheme. Zbl 1517.35006
Ducasse, Romain; Santambrogio, Filippo; Yoldaş, Havva
1
2023
\(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions. Zbl 1505.35155
Guo, Chang-Yu; Wang, Changyou; Xiang, Chang-Lin
1
2023
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation. Zbl 1523.46022
Arroyo-Rabasa, Adolfo; Bonicatto, Paolo
1
2023
Liouville type theorems for positive harmonic functions on the unit ball with a nonlinear boundary condition. Zbl 1517.35102
Lin, Daowen; Ou, Qianzhong
1
2023
Extensions and traces of BV functions in rough domains and generalized Cheeger sets. Zbl 1528.28009
Gui, Changfeng; Hu, Yeyao; Li, Qinfeng
1
2023
Li-Yau inequalities for the Helfrich functional and applications. Zbl 1514.53047
Rupp, Fabian; Scharrer, Christian
1
2023
Non-occurrence of gap for one-dimensional non-autonomous functionals. Zbl 1504.49032
Mariconda, Carlo
1
2023
Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\). Zbl 1505.35352
Li, Yan; Tang, Zhongwei; Zhou, Ning
1
2023
Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere. Zbl 1504.58018
Kalvin, Victor
1
2023
Wolff potentials and measure data vectorial problems with Orlicz growth. Zbl 1506.35058
Chlebicka, Iwona; Youn, Yeonghun; Zatorska-Goldstein, Anna
1
2023
Prescribed mass standing waves for energy critical Hartree equations. Zbl 1506.35096
Jia, Huifang; Luo, Xiao
1
2023
Approximation of weak geodesics and subharmonicity of Mabuchi energy. II: \(\varepsilon\)-geodesics. Zbl 1510.32079
Li, Long
1
2023
Uniform a priori estimates for positive solutions of the Lane-Emden system in the plane. Zbl 1505.35162
Kamburov, Nikola; Sirakov, Boyan
1
2023
On the prescribed scalar curvature problem with very degenerate prescribed functions. Zbl 1505.35183
Luo, Peng; Peng, Shuangjie; Zhou, Yang
1
2023
First and second derivative Hölder estimates for generated Jacobian equations. Zbl 1505.35236
Rankin, Cale
1
2023
Hardy and Rellich inequality on lattices. Zbl 1506.39003
Gupta, Shubham
1
2023
Dynamical (in)stability of Ricci-flat ALE metrics along the Ricci flow. Zbl 1521.53073
Deruelle, Alix; Ozuch, Tristan
1
2023
Regularity in shape optimization under convexity constraint. Zbl 1507.49035
Lamboley, Jimmy; Prunier, Raphaël
1
2023
Shifted inverse curvature flows in hyperbolic space. Zbl 1519.53074
Wang, Xianfeng; Wei, Yong; Zhou, Tailong
1
2023
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains. Zbl 1512.49043
Fusco, N.; Morini, M.
1
2023
Fully non-linear elliptic equations on compact almost Hermitian manifolds. Zbl 1510.35125
Chu, Jianchun; Huang, Liding; Zhang, Jiaogen
1
2023
Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. Zbl 1527.53026
Magnabosco, Mattia; Rossi, Tommaso
1
2023
Existence of weak solutions for porous medium equation with a divergence type of drift term. Zbl 1520.35101
Hwang, Sukjung; Kang, Kyungkeun; Kim, Hwa Kil
1
2023
Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs. Zbl 1511.35325
Hua, Bobo; Xu, Wendi
1
2023
A spectral problem for the Laplacian in joined thin films. Zbl 1512.35168
Gaudiello, Antonio; Gómez, Delfina; Pérez-Martínez, Maria-Eugenia
1
2023
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Cited by 13,824 Authors

185 Wei, Juncheng
165 Tang, Xianhua
142 Rădulescu, Vicenţiu D.
124 Papageorgiou, Nikolaos S.
123 Alves, Claudianor Oliveira
106 Valdinoci, Enrico
94 Wang, Zhi-Qiang
91 Zou, Wenming
89 Byun, Sun-Sig
85 Pistoia, Angela
81 Tang, Chun-Lei
80 Figueiredo, Giovany Malcher
76 Chen, Haibo
76 Zhang, Binlin
73 Lin, Chang-Shou
70 Miyagaki, Olimpio Hiroshi
70 Peng, Shuangjie
69 Lu, Guozhen
68 Ambrosio, Vincenzo
68 Novaga, Matteo
66 Rossi, Julio Daniel
65 Do Ó, João M. Bezerra
64 Dipierro, Serena
64 Mingione, Giuseppe
64 Musso, Monica
62 Chen, Sitong
61 Squassina, Marco
61 Yang, Minbo
58 Del Pino, Manuel A.
57 Winkert, Patrick
57 Zhang, Jian
56 Guo, Yuxia
53 Wang, Jun
52 Winkler, Michael
52 Xiang, Mingqi
51 Carrillo de la Plata, José Antonio
51 Cianchi, Andrea
51 Wu, Tsungfang
51 Zeng, Shengda
50 Jost, Jürgen
49 Molica Bisci, Giovanni
48 Weth, Tobias
47 Mielke, Alexander
46 Zhang, Fubao
46 Zhang, Jianjun
45 Figalli, Alessio
45 Fonseca, Irene
45 Repovš, Dušan D.
45 Zheng, Shenzhou
44 Ambrosio, Luigi
44 Pucci, Patrizia
44 Sciunzi, Berardino
44 Tang, Zhongwei
44 Wang, Changyou
44 Yan, Shusen
43 Conti, Sergio
43 Ding, Yanheng
43 Malchiodi, Andrea
42 Lei, Yutian
41 Clapp, Mónica
41 Sreenadh, Konijeti
41 Zhang, Zhitao
40 Cao, Daomin
40 Fusco, Nicola
40 Stefanelli, Ulisse
40 Van Schaftingen, Jean
40 Zhang, Wen
39 Deng, Shengbing
39 Dong, Hongjie
39 Gigli, Nicola
39 Yang, Yunyan
38 Chambolle, Antonin
38 Lam, Nguyen
37 Farina, Alberto
37 Fragalà, Ilaria
37 Liang, Sihua
37 Pinamonti, Andrea
37 Sire, Yannick
37 Vazquez, Juan Luis
35 Bonheure, Denis
35 Ho, Pak Tung
35 Zhu, Miaomiao
34 de Lima, Henrique F.
34 Ignat, Radu
34 Lee, Youngae
34 Schikorra, Armin
33 Byeon, Jaeyoung
33 Chtioui, Hichem
33 Furtado, Marcelo Fernandes
33 Kang, Dongsheng
33 Li, Jiayu
33 Shimomura, Tetsu
33 Wang, Guofang
32 Guo, Zongming
32 Ji, Chao
32 Ok, Jihoon
32 Severo, Uberlandio Batista
32 Terracini, Susanna
31 Bartsch, Thomas J.
31 Chen, Lu
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Cited in 688 Journals

1,636 Calculus of Variations and Partial Differential Equations
1,310 Journal of Differential Equations
1,161 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1,052 Journal of Mathematical Analysis and Applications
628 Journal of Functional Analysis
588 The Journal of Geometric Analysis
514 Archive for Rational Mechanics and Analysis
447 Discrete and Continuous Dynamical Systems
373 Communications on Pure and Applied Analysis
350 Advances in Mathematics
348 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
346 SIAM Journal on Mathematical Analysis
330 Proceedings of the American Mathematical Society
310 Journal of Mathematical Physics
291 Journal de Mathématiques Pures et Appliquées. Neuvième Série
286 NoDEA. Nonlinear Differential Equations and Applications
282 Communications in Contemporary Mathematics
275 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
274 Annali di Matematica Pura ed Applicata. Serie Quarta
266 Transactions of the American Mathematical Society
253 Communications in Partial Differential Equations
239 Boundary Value Problems
226 ZAMP. Zeitschrift für angewandte Mathematik und Physik
220 Mathematische Annalen
220 Advanced Nonlinear Studies
213 Complex Variables and Elliptic Equations
202 Applied Mathematics Letters
200 Advances in Nonlinear Analysis
191 Nonlinear Analysis. Real World Applications
177 Applicable Analysis
174 Mathematical Methods in the Applied Sciences
172 Nonlinearity
163 Discrete and Continuous Dynamical Systems. Series S
160 Communications in Mathematical Physics
160 Advances in Calculus of Variations
158 Mathematische Zeitschrift
148 Manuscripta Mathematica
145 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
143 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
137 Science China. Mathematics
132 Potential Analysis
128 Annals of Global Analysis and Geometry
128 Mediterranean Journal of Mathematics
125 Mathematische Nachrichten
124 Discrete and Continuous Dynamical Systems. Series B
121 Comptes Rendus. Mathématique. Académie des Sciences, Paris
119 Journal für die Reine und Angewandte Mathematik
112 Topological Methods in Nonlinear Analysis
111 Communications on Pure and Applied Mathematics
107 Journal of Fixed Point Theory and Applications
103 Journal of the European Mathematical Society (JEMS)
101 Acta Mathematica Sinica. English Series
97 Acta Mathematica Scientia. Series B. (English Edition)
96 Journal of Evolution Equations
92 Applied Mathematics and Optimization
92 Electronic Journal of Differential Equations (EJDE)
92 Analysis & PDE
91 Computers & Mathematics with Applications
91 Differential Geometry and its Applications
91 Mathematics in Engineering
88 Journal of Nonlinear Science
79 Results in Mathematics
79 Revista Matemática Iberoamericana
79 Asymptotic Analysis
76 Inventiones Mathematicae
76 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
76 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
75 Journal of Dynamics and Differential Equations
74 Journal of Geometry and Physics
72 Journal d’Analyse Mathématique
71 Journal of Elliptic and Parabolic Equations
70 Milan Journal of Mathematics
69 Archiv der Mathematik
67 Acta Applicandae Mathematicae
66 Journal of Mathematical Sciences (New York)
65 Duke Mathematical Journal
65 Pacific Journal of Mathematics
65 Journal of Mathematical Fluid Mechanics
64 Abstract and Applied Analysis
64 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
63 Geometriae Dedicata
60 Indiana University Mathematics Journal
59 Journal of Computational Physics
58 Journal of Inequalities and Applications
57 International Journal of Mathematics
56 Analysis and Mathematical Physics
56 SN Partial Differential Equations and Applications
55 Journal of the London Mathematical Society. Second Series
55 Chinese Annals of Mathematics. Series B
53 Applied Mathematics and Computation
51 Annales Henri Poincaré
50 Journal of Elasticity
49 Rocky Mountain Journal of Mathematics
48 Israel Journal of Mathematics
47 Computer Methods in Applied Mechanics and Engineering
47 SIAM Journal on Applied Mathematics
47 Analysis and Geometry in Metric Spaces
46 Monatshefte für Mathematik
46 SIAM Journal on Control and Optimization
45 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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Cited in 61 Fields

17,009 Partial differential equations (35-XX)
4,268 Differential geometry (53-XX)
3,927 Calculus of variations and optimal control; optimization (49-XX)
2,600 Global analysis, analysis on manifolds (58-XX)
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985 Biology and other natural sciences (92-XX)
970 Real functions (26-XX)
742 Numerical analysis (65-XX)
709 Statistical mechanics, structure of matter (82-XX)
698 Dynamical systems and ergodic theory (37-XX)
679 Ordinary differential equations (34-XX)
580 Probability theory and stochastic processes (60-XX)
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491 Measure and integration (28-XX)
471 Convex and discrete geometry (52-XX)
443 Potential theory (31-XX)
341 Integral equations (45-XX)
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262 Harmonic analysis on Euclidean spaces (42-XX)
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80 Geometry (51-XX)
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78 Abstract harmonic analysis (43-XX)
59 Algebraic geometry (14-XX)
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