## Advances in Calculus of Variations

 Short Title: Adv. Calc. Var. Publisher: De Gruyter, Berlin ISSN: 1864-8258; 1864-8266/e Online: http://www.degruyter.com/view/j/acv Comments: Indexed cover-to-cover
 Documents Indexed: 279 Publications (since 2008) References Indexed: 219 Publications with 5,144 References.
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### Latest Issues

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### Authors

 5 Chambolle, Antonin 5 Mandallena, Jean-Philippe 4 Dal Maso, Gianni 4 Onninen, Jani 3 Bulíček, Miroslav 3 Gianazza, Ugo Pietro 3 Grunau, Hans-Christoph 3 Krömer, Stefan 3 Masnou, Simon 3 Mazón Ruiz, José M. 3 Mora-Corral, Carlos 3 Novaga, Matteo 3 Papageorgiou, Nikolaos S. 3 Rădulescu, Vicenţiu D. 3 Rivière, Tristan 3 Rossi, Julio Daniel 3 Squassina, Marco 2 Amar, Micol 2 Anza Hafsa, Omar 2 Bellettini, Giovanni 2 Bernard, Yann 2 Bhattacharya, Tilak 2 Blatt, Simon 2 Boccardo, Lucio 2 Bögelein, Verena 2 Brasco, Lorenzo 2 Buttazzo, Giuseppe 2 Carlier, Guillaume 2 Cellina, Arrigo 2 Cianchi, Andrea 2 Crasta, Graziano 2 Croce, Gisella 2 Dall’Acqua, Anna 2 Davoli, Elisa 2 Dayrens, François 2 De Lellis, Camillo 2 Duzaar, Frank 2 Ferrari, Luca Alberto Davide 2 Finster, Felix 2 Focardi, Matteo 2 Gasiński, Leszek 2 Habermann, Jens 2 Hebey, Emmanuel 2 Henao, Duvan A. 2 Hencl, Stanislav 2 Iwaniec, Tadeusz 2 Jiang, Renjin 2 Katzourakis, Nikolaos I. 2 Kinnunen, Juha 2 Korte, Riikka 2 Koskela, Pekka 2 Lahti, Panu 2 Lamm, Tobias 2 Laurain, Paul 2 Leonardi, Gian Paolo 2 Leoni, Giovanni 2 Lewis, John L. 2 Lindqvist, Peter 2 Lorent, Andrew 2 Marcellini, Paolo 2 Marchese, Andrea 2 Mascolo, Elvira 2 Merlet, Benoît 2 Mielke, Alexander 2 Mohammed, Ahmed 2 Moscariello, Gioconda 2 Moser, Roger 2 Mucci, Domenico 2 Negri, Matteo 2 Olbermann, Heiner 2 Oliva, Marcos 2 Orsina, Luigi 2 Paolini, Maurizio 2 Parviainen, Mikko 2 Passarelli di Napoli, Antonia 2 Pisante, Giovanni 2 Pratelli, Aldo 2 Pucci, Patrizia 2 Rindler, Filip 2 Ripoll, Jaime Bruck 2 Rosales, Leobardo 2 Salort, Ariel Martin 2 Schatzle, Reiner 2 Scheven, Christoph 2 Schuricht, Friedemann 2 Serra Cassano, Francesco 2 Shanmugalingam, Nageswari 2 Shieh, Tien-Tsan 2 Sil, Swarnendu 2 Spadaro, Emanuele Nunzio 2 Spector, Daniel E. 2 Strzelecki, Paweł 2 Toledo, Julián 2 Tomi, Friedrich 2 Vespri, Vincenzo Riccardo 2 Wang, Changyou 2 Wenger, Stefan 2 Wheeler, Glen E. 2 Xia, Qinglan 2 Xiao, Jie ...and 324 more Authors
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### Fields

 149 Calculus of variations and optimal control; optimization (49-XX) 141 Partial differential equations (35-XX) 40 Differential geometry (53-XX) 33 Global analysis, analysis on manifolds (58-XX) 31 Real functions (26-XX) 26 Mechanics of deformable solids (74-XX) 20 Functional analysis (46-XX) 18 Measure and integration (28-XX) 15 Functions of a complex variable (30-XX) 15 Potential theory (31-XX) 12 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Ordinary differential equations (34-XX) 3 General topology (54-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

215 Publications have been cited 1,752 times in 1,498 Documents Cited by Year
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
The second eigenvalue of the fractional $$p$$-Laplacian. Zbl 1349.35263
Brasco, Lorenzo; Parini, Enea
2016
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $$p$$-Laplacian. Zbl 1431.35233
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
2019
Higher differentiability of minimizers of variational integrals with Sobolev coefficients. Zbl 1280.49058
Passarelli di Napoli, Antonia
2014
Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060
Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph
2008
On a new class of fractional partial differential equations. Zbl 1330.35510
Shieh, Tien-Tsan; Spector, Daniel E.
2015
On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164
Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka
2009
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
2020
Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data. Zbl 1213.49050
Dall’Acqua, Anna; Fröhlich, Steffen; Grunau, Hans-Christoph; Schieweck, Friedhelm
2011
Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090
Gomes, Diogo Aguiar
2008
Positive solutions for the Robin $$p$$-Laplacian problem with competing nonlinearities. Zbl 1411.35101
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2019
A note on the Wolff potential estimate for solutions to elliptic equations involving measures. Zbl 1182.35222
Korte, Riikka; Kuusi, Tuomo
2010
Existence and soap film regularity of solutions to Plateau’s problem. Zbl 1361.49008
Harrison, Jenny; Pugh, Harrison
2016
Liouville-type theorems for biharmonic maps between Riemannian manifolds. Zbl 1185.31004
Baird, Paul; Fardoun, Ali; Ouakkas, Seddik
2010
Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284
Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David
2017
Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients. Zbl 1406.49040
Giova, Raffaella; Passarelli di Napoli, Antonia
2019
Lusin’s condition and the distributional determinant for deformations with finite energy. Zbl 1252.49016
Henao, Duvan; Mora-Corral, Carlos
2012
Stationary electro-rheological fluids: low order regularity for systems with discontinuous coefficients. Zbl 1238.35095
Bögelein, Verena; Duzaar, Frank; Habermann, Jens; Scheven, Christoph
2012
Existence and uniqueness for elliptic equations with lower-order terms. Zbl 1232.35051
Moscariello, Gioconda
2011
Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs. Zbl 1188.53027
Bigolin, Francesco; Serra Cassano, Francesco
2010
Lower semicontinuity and Young measures in BV without Alberti’s Rank-One Theorem. Zbl 1239.49018
Rindler, Filip
2012
The Steiner tree problem revisited through rectifiable $$G$$-currents. Zbl 1334.49143
Marchese, Andrea; Massaccesi, Annalisa
2016
On solutions to Dirichlet problems involving the infinity-Laplacian. Zbl 1232.35056
Bhattacharya, Tilak; Mohammed, Ahmed
2011
Lipschitz conformal immersions from degenerating Riemann surfaces with $$L^2$$-bounded second fundamental forms. Zbl 1304.30033
Rivière, Tristan
2013
Fracture and plastic models as $$\Gamma$$-limits of damage models under different regimes. Zbl 1379.74003
Iurlano, Flaviana
2013
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
2008
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2019
Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups. Zbl 1304.49084
Serra Cassano, Francesco; Vittone, Davide
2014
Dimension reduction for the singular set of biharmonic maps. Zbl 1152.58011
Scheven, Christoph
2008
Boundary behaviour of $$p$$-harmonic functions in domains beyond Lipschitz domains. Zbl 1169.31004
Lewis, John L.; Nyström, Kaj
2008
On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds. Zbl 1305.49067
Brasco, Lorenzo; Carlier, Guillaume
2014
Regularity theorems for degenerate quasiconvex energies with $$(p, q)$$-growth. Zbl 1151.49031
Schmidt, Thomas
2008
On a new class of fractional partial differential equations. II. Zbl 1451.35257
Shieh, Tien-Tsan; Spector, Daniel E.
2018
$$n/p$$-harmonic maps: regularity for the sphere case. Zbl 1281.49034
Da Lio, Francesca; Schikorra, Armin
2014
A second derivative Hölder estimate for weak mean curvature flow. Zbl 1283.53064
Tonegawa, Yoshihiro
2014
Stability for degenerate parabolic equations. Zbl 1185.35123
Kinnunen, Juha; Parviainen, Mikko
2010
Multiple solutions of double phase variational problems with variable exponent. Zbl 1454.49006
Shi, Xiayang; Rădulescu, Vicenţiu D.; Repovš, Dušan D.; Zhang, Qihu
2020
A comparative analysis on variational models for quasi-static brittle crack propagation. Zbl 1193.49055
Negri, Matteo
2010
A new proof of the Hölder continuity of solutions to $$p$$-Laplace type parabolic equations. Zbl 1227.35112
Gianazza, Ugo; Surnachev, Mikhail; Vespri, Vincenzo
2010
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
2012
Existence and multiplicity results for the fractional Laplacian in bounded domains. Zbl 1405.35249
Mugnai, Dimitri; Pagliardini, Dayana
2017
Heisenberg isoperimetric problem. The axial case. Zbl 1149.49036
Monti, Roberto
2008
Large solutions for the infinity Laplacian. Zbl 1158.35371
Juutinen, Petri; Rossi, Julio D.
2008
Constant sign and nodal solutions for superlinear double phase problems. Zbl 1478.35118
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2021
Boundary regularity for polyharmonic maps in the critical dimension. Zbl 1165.31004
Lamm, Tobias; Wang, Changyou
2009
Boundary continuity of solutions to a basic problem in the calculus of variations. Zbl 1187.49002
Bousquet, Pierre
2010
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
Local regularity results for value functions of tug-of-war with noise and running payoff. Zbl 1331.35069
Ruosteenoja, Eero
2016
Asymptotic analysis for fourth order Paneitz equations with critical growth. Zbl 1251.58005
Hebey, Emmanuel; Robert, Frédéric
2011
Noether’s theorem and the Willmore functional. Zbl 1343.58008
Bernard, Yann
2016
Some applications of the isoperimetric inequality for integral varifolds. Zbl 1166.49038
Menne, Ulrich
2009
A planar bi-Lipschitz extension theorem. Zbl 1331.26020
Daneri, Sara; Pratelli, Aldo
2015
Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068
Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela
2011
Comparison between second variation of area and second variation of energy of a minimal surface. Zbl 1163.58006
Ejiri, Norio; Micallef, Mario
2008
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
2017
Hölder regularity for a classical problem of the calculus of variations. Zbl 1178.49047
Mariconda, Carlo; Treu, Giulia
2009
Energy and area minimizers in metric spaces. Zbl 1376.49052
Lytchak, Alexander; Wenger, Stefan
2017
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039
Bernard, Yann; Finster, Felix
2014
A curious equation involving the $$\infty$$-Laplacian. Zbl 1200.49026
Lindqvist, Peter; Lukkari, Teemu
2010
A unilateral $$L^2$$-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. Zbl 1491.74089
Negri, Matteo
2019
The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow. Zbl 1268.35038
Mazón, José M.; Segura de León, Sergio
2013
Energy quantization for biharmonic maps. Zbl 1275.35098
Laurain, Paul; Rivière, Tristan
2013
Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012
Hildebrandt, Stefan; von der Mosel, Heiko
2009
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2017
Fibered nonlinearities for $$p(x)$$-Laplace equations. Zbl 1175.35069
Chermisi, Milena; Valdinoci, Enrico
2009
On multiwell Liouville theorems in higher dimension. Zbl 1319.30013
Jerrard, Robert L.; Lorent, Andrew
2013
On the total variations for the inverse of a $$BV$$-homeomorphism. Zbl 1279.26029
D’Onofrio, Luigi; Schiattarella, Roberta
2013
Almost complex structures and calibrated integral cycles in contact 5-manifolds. Zbl 1272.49094
Bellettini, Costante
2013
Optimal mass transportation for costs given by Finsler distances via $$p$$-Laplacian approximations. Zbl 1385.49001
Igbida, Noureddine; Mazón, José M.; Rossi, Julio D.; Toledo, Julián
2018
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu
2015
Stability of equilibrium configurations for elastic films in two and three dimensions. Zbl 1322.49033
Bonacini, Marco
2015
Serrin’s over-determined problem on Riemannian manifolds. Zbl 1326.58011
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide
2015
A remark on the anisotropic outer Minkowski content. Zbl 1294.28005
Chambolle, Antonin; Lisini, Stefano; Lussardi, Luca
2014
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations. Zbl 1476.35048
Lian, Wei; Rădulescu, Vicenţiu D.; Xu, Runzhang; Yang, Yanbing; Zhao, Nan
2021
Locality of the mean curvature of rectifiable varifolds. Zbl 1159.49045
Leonardi, Gian Paolo; Masnou, Simon
2009
Weak solutions of a biharmonic map heat flow. Zbl 1165.58008
Moser, Roger
2009
Some special aspects related to the 1-Laplace operator. Zbl 1211.35214
Milbers, Z.; Schuricht, F.
2011
Boundary regularity of optimal transport paths. Zbl 1216.49040
Xia, Qinglan
2011
Conformally constrained Willmore immersions. Zbl 1282.53007
Schätzle, Reiner Michael
2013
Characterizations for fractional Hardy inequality. Zbl 1315.26021
Dyda, Bartłomiej; Vähäkangas, Antti V.
2015
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
2017
A $$C^{1,\alpha}$$ partial regularity result for integral functionals with $$p(x)$$-growth condition. Zbl 1354.35008
Giannetti, Flavia
2016
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip
2020
Optimum and equilibrium in a transport problem with queue penalization effect. Zbl 1166.49040
Crippa, Gianluca; Jimenez, Chloé; Pratelli, Aldo
2009
Estimates for the energy density of critical points of a class of conformally invariant variational problems. Zbl 1283.35031
Lamm, Tobias; Lin, Longzhi
2013
Morrey spaces and generalized Cheeger sets. Zbl 1412.49014
Li, Qinfeng; Torres, Monica
2019
Approximation for convex functionals on non-positively curved spaces and the Trotter-Kato product formula. Zbl 1245.47018
Stojkovic, Igor
2012
Immersed spheres of finite total curvature into manifolds. Zbl 1306.53049
Mondino, Andrea; Rivière, Tristan
2014
Bi-Sobolev homeomorphism with zero minors almost everywhere. Zbl 1316.26012
Černý, Robert
2015
Image inpainting via variational approximation of a Dirichlet problem with free discontinuity. Zbl 1296.49024
Carriero, Michele; Leaci, Antonio; Tomarelli, Franco
2014
New examples of conformally constrained Willmore minimizers of explicit type. Zbl 1325.53012
Ndiaye, Cheikh Birahim; Schätzle, Reiner Michael
2015
Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
2010
Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009
Koskela, Pekka; Onninen, Jani
2008
Regularity and quantification for harmonic maps with free boundary. Zbl 1370.58005
Laurain, Paul; Petrides, Romain
2017
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
2016
The Brunn-Minkowski inequality and a Minkowski problem for $$\mathcal{A}$$-harmonic Green’s function. Zbl 1471.35131
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew
2021
Semicontinuity and relaxation of $$L^{\infty }$$-functionals. Zbl 1163.49011
Prinari, Francesca
2009
Bounds for some minimizing sequences of functionals. Zbl 1206.49040
Leonetti, Francesco; Petricca, Pier Vincenzo
2011
Convergence of dynamic programming principles for the $$p$$-Laplacian. Zbl 1486.35235
del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko
2022
Rigidity and trace properties of divergence-measure vector fields. Zbl 1491.35122
Leonardi, Gian Paolo; Saracco, Giorgio
2022
Existence for singular critical exponential $$(p,Q)$$ equations in the Heisenberg group. Zbl 07558024
Pucci, Patrizia; Temperini, Letizia
2022
Constant sign and nodal solutions for superlinear double phase problems. Zbl 1478.35118
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2021
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations. Zbl 1476.35048
Lian, Wei; Rădulescu, Vicenţiu D.; Xu, Runzhang; Yang, Yanbing; Zhao, Nan
2021
The Brunn-Minkowski inequality and a Minkowski problem for $$\mathcal{A}$$-harmonic Green’s function. Zbl 1471.35131
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew
2021
Sobolev inequalities for fractional Neumann Laplacians on half spaces. Zbl 1459.35100
Musina, Roberta; Nazarov, Alexander I.
2021
On the monotonicity of the principal frequency of the $$p$$-Laplacian. Zbl 1458.35294
Bocea, Marian; Mihăilescu, Mihai
2021
Boundary rectifiability and elliptic operators with $$W^{1, 1}$$ coefficients. Zbl 07306550
Toro, Tatiana; Zhao, Zihui
2021
Phase-field approximation for a class of cohesive fracture energies with an activation threshold. Zbl 1476.49018
Chambolle, Antonin; Crismale, Vito
2021
Sharp weighted isoperimetric and Caffarelli-Kohn-Nirenberg inequalities. Zbl 1467.26016
Lam, Nguyen
2021
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality. Zbl 1480.26004
Durand-Cartagena, Estibalitz; Eriksson-Bique, Sylvester; Korte, Riikka; Shanmugalingam, Nageswari
2021
Harmonic maps between two concentric annuli in $$\mathbb{R}^3$$. Zbl 1467.49007
Kalaj, David
2021
Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data. Zbl 1476.35075
Carmona, Jose; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro
2021
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
2020
Multiple solutions of double phase variational problems with variable exponent. Zbl 1454.49006
Shi, Xiayang; Rădulescu, Vicenţiu D.; Repovš, Dušan D.; Zhang, Qihu
2020
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006
Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip
2020
Second-order $$L^\infty$$ variational problems and the $$\infty$$-polylaplacian. Zbl 1437.49006
Katzourakis, Nikos; Pryer, Tristan
2020
Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms. Zbl 1436.35207
2020
On locally essentially bounded divergence measure fields and sets of locally finite perimeter. Zbl 1436.26009
Comi, Giovanni E.; Payne, Kevin R.
2020
On the Wasserstein distance between mutually singular measures. Zbl 1446.49010
Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime
2020
The Cauchy problem for the Finsler heat equation. Zbl 1445.35193
Akagi, Goro; Ishige, Kazuhiro; Sato, Ryuichi
2020
The Nitsche phenomenon for weighted Dirichlet energy. Zbl 1450.30039
2020
A group-theoretical approach for nonlinear Schrödinger equations. Zbl 1454.49005
Molica Bisci, Giovanni
2020
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $$p$$-Laplacian. Zbl 1431.35233
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
2019
Positive solutions for the Robin $$p$$-Laplacian problem with competing nonlinearities. Zbl 1411.35101
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2019
Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients. Zbl 1406.49040
Giova, Raffaella; Passarelli di Napoli, Antonia
2019
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2019
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
A unilateral $$L^2$$-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. Zbl 1491.74089
Negri, Matteo
2019
Morrey spaces and generalized Cheeger sets. Zbl 1412.49014
Li, Qinfeng; Torres, Monica
2019
A direct approach to the anisotropic Plateau problem. Zbl 1416.49051
De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco
2019
Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions. Zbl 1426.49044
Eichmann, Sascha; Grunau, Hans-Christoph
2019
Maximal solutions for the $$\infty$$-eigenvalue problem. Zbl 1414.35077
da Silva, João Vitor; Rossi, Julio D.; Salort, Ariel M.
2019
Local minimality of the ball for the Gaussian perimeter. Zbl 1416.49052
La Manna, Domenico Angelo
2019
Perturbation results involving the 1-Laplace operator. Zbl 1428.49051
Littig, Samuel; Schuricht, Friedemann
2019
Calculus of variations: a differential form approach. Zbl 1407.49021
Sil, Swarnendu
2019
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008
Convent, Alexandra; Van Schaftingen, Jean
2019
Heat ball formulæ for $$k$$-forms on evolving manifolds. Zbl 1415.58016
2019
Sphere-valued harmonic maps with surface energy and the $$K_{13}$$ problem. Zbl 1426.58002
Day, Stuart; Zarnescu, Arghir Dani
2019
On the viscosity solutions of eigenvalue problems for a class of nonlinear elliptic equations. Zbl 1427.35043
Bhattacharya, Tilak; Marazzi, Leonardo
2019
On a new class of fractional partial differential equations. II. Zbl 1451.35257
Shieh, Tien-Tsan; Spector, Daniel E.
2018
Optimal mass transportation for costs given by Finsler distances via $$p$$-Laplacian approximations. Zbl 1385.49001
Igbida, Noureddine; Mazón, José M.; Rossi, Julio D.; Toledo, Julián
2018
Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023
Boccardo, Lucio; Orsina, Luigi
2018
Sobolev homeomorphisms with gradients of low rank via laminates. Zbl 1396.26023
Faraco, Daniel; Mora-Corral, Carlos; Oliva, Marcos
2018
Stationary Kirchhoff equations with powers. Zbl 1387.58025
Hebey, Emmanuel
2018
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer on manifolds and multiple solutions for zero-mass equations in $$\mathbb{R}^N$$. Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
A note on transport equation in quasiconformally invariant spaces. Zbl 1387.49040
Clop, Albert; Jiang, Renjin; Mateu, Joan; Orobitg, Joan
2018
Nonlinear diffusion in transparent media: the resolvent equation. Zbl 06951088
Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco
2018
Quasi-static hydraulic crack growth driven by Darcy’s law. Zbl 1387.49061
Almi, Stefano
2018
Hölder regularity at the boundary of two-dimensional sliding almost minimal sets. Zbl 1385.49026
Fang, Yangqin
2018
Jacobian of weak limits of Sobolev homeomorphisms. Zbl 1443.26006
Hencl, Stanislav; Onninen, Jani
2018
Relative $$\infty$$-capacity and its affinization. Zbl 1380.35052
Jiang, Renjin; Xiao, Jie; Yang, Dachun
2018
Existence and regularity results for weak solutions to $$(p,q)$$-elliptic systems in divergence form. Zbl 1394.35163
Bulíček, Miroslav; Cupini, Giovanni; Stroffolini, Bianca; Verde, Anna
2018
A remark on the two-phase obstacle-type problem for the $$p$$-Laplacian. Zbl 1391.35433
Zheng, Jun; Feng, Binhua; Zhao, Peihao
2018
On the continuity of functionals defined on partitions. Zbl 1401.49065
Ruf, Matthias
2018
Fin junction of ferroelectric thin films. Zbl 1400.49056
Carbone, Luciano; Chacouche, Khaled; Gaudiello, Antonio
2018
A class of shape optimization problems for some nonlocal operators. Zbl 1401.49061
Fernández Bonder, Julián; Ritorto, Antonella; Salort, Ariel Martin
2018
Bellman function approach to the sharp constants in uniform convexity. Zbl 1381.28004
Ivanisvili, Paata
2018
Local regularity and compactness for the $$p$$-harmonic map heat flows. Zbl 1395.35062
Misawa, Masashi
2018
On the structure of flat chains modulo $$p$$. Zbl 1394.49043
Marchese, Andrea; Stuvard, Salvatore
2018
Dichotomy of global capacity density in metric measure spaces. Zbl 1400.49004
Aikawa, Hiroaki; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari
2018
On the regularity of solutions of one-dimensional variational obstacle problems. Zbl 1387.49003
Mandallena, Jean-Philippe
2018
Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284
Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David
2017
Existence and multiplicity results for the fractional Laplacian in bounded domains. Zbl 1405.35249
Mugnai, Dimitri; Pagliardini, Dayana
2017
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
2017
Energy and area minimizers in metric spaces. Zbl 1376.49052
Lytchak, Alexander; Wenger, Stefan
2017
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2017
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
2017
Regularity and quantification for harmonic maps with free boundary. Zbl 1370.58005
Laurain, Paul; Petrides, Romain
2017
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation. Zbl 1364.49013
Dal Maso, Gianni; Orlando, Gianluca; Toader, Rodica
2017
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
2017
On interpolation and curvature via Wasserstein geodesics. Zbl 1454.58017
Kell, Martin
2017
Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces. Zbl 1366.35076
Fujishima, Yohei; Habermann, Jens
2017
$$\Gamma$$-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization. Zbl 1391.49019
Anza Hafsa, Omar; Mandallena, Jean-Philippe
2017
$$\mathcal{A}$$-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals. Zbl 1366.49014
Krämer, Jan; Krömer, Stefan; Kružík, Martin; Pathó, Gabriel
2017
A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth. Zbl 1366.35099
DiBenedetto, Emmanuele; Gianazza, Ugo; Klaus, Colin
2017
The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data. Zbl 1369.58012
Mazowiecka, Katarzyna; Strzelecki, Paweł
2017
Complete minimal discs in Hadamard manifolds. Zbl 1430.53046
Ripoll, Jaime; Tomi, Friedrich
2017
Subharmonicity results for the stationary solutions of isotropic energy functionals. Zbl 1366.35038
Koski, Aleksis
2017
Existence results for fractional $$p$$-Laplacian problems via Morse theory. Zbl 06567151
Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco
2016
The second eigenvalue of the fractional $$p$$-Laplacian. Zbl 1349.35263
Brasco, Lorenzo; Parini, Enea
2016
Existence and soap film regularity of solutions to Plateau’s problem. Zbl 1361.49008
Harrison, Jenny; Pugh, Harrison
2016
The Steiner tree problem revisited through rectifiable $$G$$-currents. Zbl 1334.49143
Marchese, Andrea; Massaccesi, Annalisa
2016
Local regularity results for value functions of tug-of-war with noise and running payoff. Zbl 1331.35069
Ruosteenoja, Eero
2016
Noether’s theorem and the Willmore functional. Zbl 1343.58008
Bernard, Yann
2016
A $$C^{1,\alpha}$$ partial regularity result for integral functionals with $$p(x)$$-growth condition. Zbl 1354.35008
Giannetti, Flavia
2016
Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010
Martio, Olli
2016
Allard-type boundary regularity for $$C^{1,\alpha}$$ boundaries. Zbl 1348.49046
Bourni, Theodora
2016
Gaussian $$\mathcal{BV}$$ capacity. Zbl 1342.28029
Xiao, Jie
2016
A Neumann problem involving the $$p(x)$$-Laplacian with $$p=\infty$$ in a subdomain. Zbl 1331.35141
Karagiorgos, Yiannis; Yannakakis, Nikos
2016
The one-dimensional model for $$d$$-cones revisited. Zbl 1344.49020
Olbermann, Heiner
2016
Notions of affinity in calculus of variations with differential forms. Zbl 1344.49069
2016
Nonsolvability of the asymptotic Dirichlet problem for the $$p$$-Laplacian on Cartan-Hadamard manifolds. Zbl 1342.58011
Holopainen, Ilkka
2016
On linear degenerate elliptic PDE systems with constant coefficients. Zbl 1343.35117
Katzourakis, Nikos
2016
Some local estimates and a uniqueness result for the entire biharmonic heat equation. Zbl 1336.35180
Simon, Miles; Wheeler, Glen
2016
On a new class of fractional partial differential equations. Zbl 1330.35510
Shieh, Tien-Tsan; Spector, Daniel E.
2015
A planar bi-Lipschitz extension theorem. Zbl 1331.26020
Daneri, Sara; Pratelli, Aldo
2015
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu
2015
...and 115 more Documents
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### Cited by 1,557 Authors

 27 Papageorgiou, Nikolaos S. 21 Squassina, Marco 19 Passarelli di Napoli, Antonia 17 Rădulescu, Vicenţiu D. 16 Schikorra, Armin 16 Zhang, Binlin 15 Mingione, Giuseppe 14 Pinamonti, Andrea 13 Bögelein, Verena 13 Brasco, Lorenzo 13 Marcellini, Paolo 13 Nyström, Kaj 13 Stefanelli, Ulisse 12 De Lellis, Camillo 12 Giova, Raffaella 12 Kuusi, Tuomo 11 Iannizzotto, Antonio 11 Scheven, Christoph 11 Xiang, Mingqi 10 Chambolle, Antonin 10 Duzaar, Frank 10 Finster, Felix 10 Vetro, Calogero 9 Bousquet, Pierre 9 De Rosa, Antonio 9 Goodrich, Christopher S. 9 Liang, Sihua 9 Mitake, Hiroyoshi 9 Mora-Corral, Carlos 9 Mosconi, Sunra J. N. 9 Rindler, Filip 9 Sreenadh, Konijeti 9 Vetro, Francesca 8 Boccardo, Lucio 8 Bulíček, Miroslav 8 De Philippis, Guido 8 Giannetti, Flavia 8 Henao, Duvan A. 8 Lahti, Panu 8 Malý, Jan 8 Mandallena, Jean-Philippe 8 Mariconda, Carlo 8 Miranda, Michele jun. 8 Novaga, Matteo 8 Rivière, Tristan 8 Rossi, Julio Daniel 8 Treu, Giulia 8 Winkert, Patrick 7 Chen, Wenjing 7 Conti, Sergio 7 Crismale, Vito 7 Dall’Acqua, Anna 7 Eleuteri, Michela 7 Focardi, Matteo 7 Hencl, Stanislav 7 Lussardi, Luca 7 Marchese, Andrea 7 Mascolo, Elvira 7 Menne, Ulrich 7 Mohammed, Ahmed 7 Monti, Roberto 7 Parviainen, Mikko 7 Repovš, Dušan D. 7 Schiattarella, Roberta 7 Shi, Shaoyun 7 Song, Yueqiang 7 Süli, Endre E. 7 Wenger, Stefan 7 Zeppieri, Caterina Ida 6 Anza Hafsa, Omar 6 Bellettini, Giovanni 6 Choudhuri, Debajyoti 6 Citti, Giovanna 6 Comi, Giovanni E. 6 D’Onofrio, Luigi 6 Fonseca, Irene 6 Fusco, Nicola 6 Habermann, Jens 6 Katzourakis, Nikolaos I. 6 Kinnunen, Juha 6 Krömer, Stefan 6 Leonetti, Francesco 6 Lewis, John L. 6 Massaccesi, Annalisa 6 Mihăilescu, Mihai 6 Negri, Matteo 6 Oudet, Edouard 6 Pluda, Alessandra 6 Saoudi, Kamel 6 Spadaro, Emanuele Nunzio 6 Spolaor, Luca 6 Tang, Xianhua 6 Tonegawa, Yoshihiro 6 Tran Vinh Hung 6 Valdinoci, Enrico 6 Vecchi, Eugenio 6 Wang, Changyou 6 Xiao, Jie 6 Zecca, Gabriella 6 Zeng, Shengda ...and 1,457 more Authors
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### Cited in 245 Journals

 105 Calculus of Variations and Partial Differential Equations 98 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal of Differential Equations 51 Journal of Mathematical Analysis and Applications 46 The Journal of Geometric Analysis 40 Archive for Rational Mechanics and Analysis 39 Advances in Calculus of Variations 34 Journal of Functional Analysis 31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 SIAM Journal on Mathematical Analysis 24 Advances in Mathematics 24 Complex Variables and Elliptic Equations 23 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Proceedings of the American Mathematical Society 18 Potential Analysis 18 NoDEA. Nonlinear Differential Equations and Applications 18 Mediterranean Journal of Mathematics 18 Advances in Nonlinear Analysis 17 Communications on Pure and Applied Analysis 16 Annals of Global Analysis and Geometry 15 Manuscripta Mathematica 14 Mathematische Annalen 14 Transactions of the American Mathematical Society 14 Discrete and Continuous Dynamical Systems. Series S 13 Applied Mathematics and Optimization 13 Communications in Partial Differential Equations 13 Topological Methods in Nonlinear Analysis 13 Boundary Value Problems 13 Journal of Elliptic and Parabolic Equations 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Discrete and Continuous Dynamical Systems 11 Indiana University Mathematics Journal 10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 Nonlinear Analysis. Real World Applications 9 Mathematische Zeitschrift 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Journal of Nonlinear Science 9 Advanced Nonlinear Studies 8 Revista Matemática Iberoamericana 8 Journal of Convex Analysis 8 Communications in Contemporary Mathematics 8 Milan Journal of Mathematics 7 Journal für die Reine und Angewandte Mathematik 7 Asymptotic Analysis 7 Electronic Journal of Differential Equations (EJDE) 7 Bulletin des Sciences Mathématiques 7 Interfaces and Free Boundaries 7 Journal of Evolution Equations 7 Analysis and Mathematical Physics 6 Applicable Analysis 6 Results in Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Analysis and Geometry in Metric Spaces 6 Geometric Flows 6 Mathematics in Engineering 5 Journal of Mathematical Physics 5 Journal of Geometry and Physics 5 Annales de l’Institut Fourier 5 Inventiones Mathematicae 5 Zeitschrift für Analysis und ihre Anwendungen 5 Forum Mathematicum 5 Journal of Elasticity 5 Journal of Fixed Point Theory and Applications 4 Communications on Pure and Applied Mathematics 4 Journal d’Analyse Mathématique 4 Nonlinearity 4 Mathematics of Computation 4 Archiv der Mathematik 4 Journal of Optimization Theory and Applications 4 Monatshefte für Mathematik 4 Numerische Mathematik 4 Geometric and Functional Analysis. GAFA 4 Journal of Mathematical Sciences (New York) 4 Opuscula Mathematica 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Analysis & PDE 4 Differential Equations and Applications 4 Science China. Mathematics 4 Annales Fennici Mathematici 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Inverse Problems 3 Rocky Mountain Journal of Mathematics 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Geometriae Dedicata 3 Journal of the Korean Mathematical Society 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Publicacions Matemàtiques 3 Journal of Mathematical Imaging and Vision ...and 145 more Journals
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### Cited in 46 Fields

 921 Partial differential equations (35-XX) 547 Calculus of variations and optimal control; optimization (49-XX) 250 Differential geometry (53-XX) 183 Global analysis, analysis on manifolds (58-XX) 123 Mechanics of deformable solids (74-XX) 117 Real functions (26-XX) 112 Functional analysis (46-XX) 99 Operator theory (47-XX) 77 Measure and integration (28-XX) 52 Potential theory (31-XX) 51 Functions of a complex variable (30-XX) 40 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 28 Dynamical systems and ergodic theory (37-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Operations research, mathematical programming (90-XX) 20 Ordinary differential equations (34-XX) 18 Convex and discrete geometry (52-XX) 17 Probability theory and stochastic processes (60-XX) 15 Integral equations (45-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Geometry (51-XX) 12 Quantum theory (81-XX) 12 Information and communication theory, circuits (94-XX) 11 Topological groups, Lie groups (22-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Difference and functional equations (39-XX) 9 Manifolds and cell complexes (57-XX) 9 Mechanics of particles and systems (70-XX) 8 Biology and other natural sciences (92-XX) 7 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 6 Combinatorics (05-XX) 6 Approximations and expansions (41-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Abstract harmonic analysis (43-XX) 4 History and biography (01-XX) 4 General topology (54-XX) 4 Relativity and gravitational theory (83-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Statistics (62-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX)