Advances in Calculus of Variations Short Title: Adv. Calc. Var. Publisher: De Gruyter, Berlin ISSN: 1864-8258; 1864-8266/e Online: https://www.degruyter.com/journal/key/acv/html#issues Comments: Indexed cover-to-cover Documents Indexed: 305 Publications (since 2008) References Indexed: 245 Publications with 5,965 References. all top 5 Latest Issues 16, No. 1 (2023) 15, No. 4 (2022) 15, No. 3 (2022) 15, No. 2 (2022) 15, No. 1 (2022) 14, No. 4 (2021) 14, No. 3 (2021) 14, No. 2 (2021) 14, No. 1 (2021) 13, No. 4 (2020) 13, No. 3 (2020) 13, No. 2 (2020) 13, No. 1 (2020) 12, No. 4 (2019) 12, No. 3 (2019) 12, No. 2 (2019) 12, No. 1 (2019) 11, No. 4 (2018) 11, No. 3 (2018) 11, No. 2 (2018) 11, No. 1 (2018) 10, No. 4 (2017) 10, No. 3 (2017) 10, No. 2 (2017) 10, No. 1 (2017) 9, No. 4 (2016) 9, No. 3 (2016) 9, No. 2 (2016) 9, No. 1 (2016) 8, No. 4 (2015) 8, No. 3 (2015) 8, No. 2 (2015) 8, No. 1 (2015) 7, No. 4 (2014) 7, No. 3 (2014) 7, No. 2 (2014) 7, No. 1 (2014) 6, No. 4 (2013) 6, No. 3 (2013) 6, No. 2 (2013) 6, No. 1 (2013) 5, No. 4 (2012) 5, No. 3 (2012) 5, No. 2 (2012) 5, No. 1 (2012) 4, No. 4 (2011) 4, No. 3 (2011) 4, No. 2 (2011) 4, No. 1 (2011) 3, No. 4 (2010) 3, No. 3 (2010) 3, No. 2 (2010) 3, No. 1 (2010) 2, No. 4 (2009) 2, No. 3 (2009) 2, No. 2 (2009) 2, No. 1 (2009) 1, No. 4 (2008) 1, No. 3 (2008) 1, No. 2 (2008) 1, No. 1 (2008) all top 5 Authors 5 Chambolle, Antonin 5 Mandallena, Jean-Philippe 4 Dal Maso, Gianni 4 Onninen, Jani 3 Bulíček, Miroslav 3 Crasta, Graziano 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 3 Wang, Changyou 3 Xia, Qinglan 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 Crismale, Vito 2 Croce, Gisella 2 Dall’Acqua, Anna 2 Davoli, Elisa 2 Dayrens, François 2 De Cicco, Virginia 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 Li, QinFeng 2 Lindqvist, Peter 2 Lorent, Andrew 2 Lu, Xinyang 2 Malusa, Annalisa 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 Porzio, Maria Michaela 2 Pratelli, Aldo 2 Pucci, Patrizia 2 Rindler, Filip 2 Ripoll, Jaime Bruck 2 Ritoré, Manuel 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. ...and 361 more Authors all top 5 Fields 157 Partial differential equations (35-XX) 156 Calculus of variations and optimal control; optimization (49-XX) 43 Differential geometry (53-XX) 35 Global analysis, analysis on manifolds (58-XX) 32 Real functions (26-XX) 27 Mechanics of deformable solids (74-XX) 21 Functional analysis (46-XX) 20 Measure and integration (28-XX) 20 Potential theory (31-XX) 15 Functions of a complex variable (30-XX) 12 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 5 Probability theory and stochastic processes (60-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-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 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-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 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 226 Publications have been cited 1,898 times in 1,602 Documents Cited by ▼ Year ▼ Existence results for fractional \(p\)-Laplacian problems via Morse theory. Zbl 06567151Iannizzotto, Antonio; Liu, Shibo; Perera, Kanishka; Squassina, Marco 120 2016 The second eigenvalue of the fractional \(p\)-Laplacian. Zbl 1349.35263Brasco, Lorenzo; Parini, Enea 76 2016 Higher differentiability of minimizers of variational integrals with Sobolev coefficients. Zbl 1280.49058Passarelli di Napoli, Antonia 41 2014 Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian. Zbl 1431.35233Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin 39 2019 Classical solutions to the Dirichlet problem for Willmore surfaces of revolution. Zbl 1194.49060Dall’Acqua, Anna; Deckelnick, Klaus; Grunau, Hans-Christoph 35 2008 On a new class of fractional partial differential equations. Zbl 1330.35510Shieh, Tien-Tsan; Spector, Daniel E. 29 2015 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 27 2017 Regularity for scalar integrals without structure conditions. Zbl 1445.35159Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 26 2020 On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 26 2009 Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090Gomes, Diogo Aguiar 25 2008 Positive solutions for the Robin \(p\)-Laplacian problem with competing nonlinearities. Zbl 1411.35101Gasiński, Leszek; Papageorgiou, Nikolaos S. 24 2019 Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data. Zbl 1213.49050Dall’Acqua, Anna; Fröhlich, Steffen; Grunau, Hans-Christoph; Schieweck, Friedhelm 24 2011 Existence and soap film regularity of solutions to Plateau’s problem. Zbl 1361.49008Harrison, Jenny; Pugh, Harrison 24 2016 Lusin’s condition and the distributional determinant for deformations with finite energy. Zbl 1252.49016Henao, Duvan; Mora-Corral, Carlos 23 2012 Liouville-type theorems for biharmonic maps between Riemannian manifolds. Zbl 1185.31004Baird, Paul; Fardoun, Ali; Ouakkas, Seddik 23 2010 A note on the Wolff potential estimate for solutions to elliptic equations involving measures. Zbl 1182.35222Korte, Riikka; Kuusi, Tuomo 23 2010 Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients. Zbl 1406.49040Giova, Raffaella; Passarelli di Napoli, Antonia 22 2019 Stationary electro-rheological fluids: low order regularity for systems with discontinuous coefficients. Zbl 1238.35095Bögelein, Verena; Duzaar, Frank; Habermann, Jens; Scheven, Christoph 21 2012 Multiple solutions of double phase variational problems with variable exponent. Zbl 1454.49006Shi, Xiayang; Rădulescu, Vicenţiu D.; Repovš, Dušan D.; Zhang, Qihu 20 2020 Fracture and plastic models as \(\Gamma \)-limits of damage models under different regimes. Zbl 1379.74003Iurlano, Flaviana 20 2013 Existence and uniqueness for elliptic equations with lower-order terms. Zbl 1232.35051Moscariello, Gioconda 19 2011 On solutions to Dirichlet problems involving the infinity-Laplacian. Zbl 1232.35056Bhattacharya, Tilak; Mohammed, Ahmed 19 2011 On a new class of fractional partial differential equations. II. Zbl 1451.35257Shieh, Tien-Tsan; Spector, Daniel E. 18 2018 Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs. Zbl 1188.53027Bigolin, Francesco; Serra Cassano, Francesco 18 2010 On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds. Zbl 1305.49067Brasco, Lorenzo; Carlier, Guillaume 18 2014 The Steiner tree problem revisited through rectifiable \(G\)-currents. Zbl 1334.49143Marchese, Andrea; Massaccesi, Annalisa 18 2016 Lower semicontinuity and Young measures in BV without Alberti’s Rank-One Theorem. Zbl 1239.49018Rindler, Filip 18 2012 Lipschitz conformal immersions from degenerating Riemann surfaces with \(L^2\)-bounded second fundamental forms. Zbl 1304.30033Rivière, Tristan 18 2013 Dimension reduction for the singular set of biharmonic maps. Zbl 1152.58011Scheven, Christoph 17 2008 Boundary behaviour of \(p\)-harmonic functions in domains beyond Lipschitz domains. Zbl 1169.31004Lewis, John L.; Nyström, Kaj 17 2008 A discrete variational principle for rate-independent evolution. Zbl 1180.35283Mielke, Alexander; Stefanelli, Ulisse 17 2008 Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio 17 2019 Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups. Zbl 1304.49084Serra Cassano, Francesco; Vittone, Davide 17 2014 \(n/p\)-harmonic maps: regularity for the sphere case. Zbl 1281.49034Da Lio, Francesca; Schikorra, Armin 17 2014 A second derivative Hölder estimate for weak mean curvature flow. Zbl 1283.53064Tonegawa, Yoshihiro 17 2014 Heisenberg isoperimetric problem. The axial case. Zbl 1149.49036Monti, Roberto 16 2008 Regularity theorems for degenerate quasiconvex energies with \((p, q)\)-growth. Zbl 1151.49031Schmidt, Thomas 16 2008 A comparative analysis on variational models for quasi-static brittle crack propagation. Zbl 1193.49055Negri, Matteo 16 2010 Constant sign and nodal solutions for superlinear double phase problems. Zbl 1478.35118Gasiński, Leszek; Papageorgiou, Nikolaos S. 15 2021 Stability for degenerate parabolic equations. Zbl 1185.35123Kinnunen, Juha; Parviainen, Mikko 15 2010 A new proof of the Hölder continuity of solutions to \(p\)-Laplace type parabolic equations. Zbl 1227.35112Gianazza, Ugo; Surnachev, Mikhail; Vespri, Vincenzo 14 2010 Existence and multiplicity results for the fractional Laplacian in bounded domains. Zbl 1405.35249Mugnai, Dimitri; Pagliardini, Dayana 13 2017 Comparison between second variation of area and second variation of energy of a minimal surface. Zbl 1163.58006Ejiri, Norio; Micallef, Mario 13 2008 Large solutions for the infinity Laplacian. Zbl 1158.35371Juutinen, Petri; Rossi, Julio D. 13 2008 Local regularity results for value functions of tug-of-war with noise and running payoff. Zbl 1331.35069Ruosteenoja, Eero 13 2016 Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo 13 2012 A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 12 2019 Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources. Zbl 1232.35068Boccardo, Lucio; Orsina, Luigi; Porzio, Maria Michaela 11 2011 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041Goodrich, Christopher S. 11 2017 Boundary regularity for polyharmonic maps in the critical dimension. Zbl 1165.31004Lamm, Tobias; Wang, Changyou 11 2009 Boundary continuity of solutions to a basic problem in the calculus of variations. Zbl 1187.49002Bousquet, Pierre 11 2010 A curious equation involving the \(\infty\)-Laplacian. Zbl 1200.49026Lindqvist, Peter; Lukkari, Teemu 11 2010 Noether’s theorem and the Willmore functional. Zbl 1343.58008Bernard, Yann 11 2016 Asymptotic analysis for fourth order Paneitz equations with critical growth. Zbl 1251.58005Hebey, Emmanuel; Robert, Frédéric 11 2011 On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039Bernard, Yann; Finster, Felix 11 2014 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 10 2020 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023Boccardo, Lucio; Orsina, Luigi 10 2018 Energy and area minimizers in metric spaces. Zbl 1376.49052Lytchak, Alexander; Wenger, Stefan 10 2017 Some applications of the isoperimetric inequality for integral varifolds. Zbl 1166.49038Menne, Ulrich 10 2009 Hölder regularity for a classical problem of the calculus of variations. Zbl 1178.49047Mariconda, Carlo; Treu, Giulia 10 2009 A planar bi-Lipschitz extension theorem. Zbl 1331.26020Daneri, Sara; Pratelli, Aldo 10 2015 Energy quantization for biharmonic maps. Zbl 1275.35098Laurain, Paul; Rivière, Tristan 10 2013 Almost complex structures and calibrated integral cycles in contact 5-manifolds. Zbl 1272.49094Bellettini, Costante 10 2013 A unilateral \(L^2\)-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. Zbl 1491.74089Negri, Matteo 9 2019 Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations. Zbl 1476.35048Lian, Wei; Rădulescu, Vicenţiu D.; Xu, Runzhang; Yang, Yanbing; Zhao, Nan 9 2021 Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 9 2017 Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012Hildebrandt, Stefan; von der Mosel, Heiko 9 2009 Characterizations for fractional Hardy inequality. Zbl 1315.26021Dyda, Bartłomiej; Vähäkangas, Antti V. 9 2015 The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow. Zbl 1268.35038Mazón, José M.; Segura de León, Sergio 9 2013 Optimal mass transportation for costs given by Finsler distances via \(p\)-Laplacian approximations. Zbl 1385.49001Igbida, Noureddine; Mazón, José M.; Rossi, Julio D.; Toledo, Julián 8 2018 Regularity and quantification for harmonic maps with free boundary. Zbl 1370.58005Laurain, Paul; Petrides, Romain 8 2017 Locality of the mean curvature of rectifiable varifolds. Zbl 1159.49045Leonardi, Gian Paolo; Masnou, Simon 8 2009 Weak solutions of a biharmonic map heat flow. Zbl 1165.58008Moser, Roger 8 2009 Fibered nonlinearities for \(p(x)\)-Laplace equations. Zbl 1175.35069Chermisi, Milena; Valdinoci, Enrico 8 2009 Stability of equilibrium configurations for elastic films in two and three dimensions. Zbl 1322.49033Bonacini, Marco 8 2015 A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039Bögelein, Verena; Duzaar, Frank; Fusco, Nicola 8 2017 Serrin’s over-determined problem on Riemannian manifolds. Zbl 1326.58011Fall, Mouhamed Moustapha; Minlend, Ignace Aristide 8 2015 Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047Chambolle, Antonin; Goldman, Michael; Novaga, Matteo 8 2015 Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu 8 2015 On multiwell Liouville theorems in higher dimension. Zbl 1319.30013Jerrard, Robert L.; Lorent, Andrew 8 2013 On the total variations for the inverse of a \(BV\)-homeomorphism. Zbl 1279.26029D’Onofrio, Luigi; Schiattarella, Roberta 8 2013 A remark on the anisotropic outer Minkowski content. Zbl 1294.28005Chambolle, Antonin; Lisini, Stefano; Lussardi, Luca 8 2014 The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green’s function. Zbl 1471.35131Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew 8 2021 Morrey spaces and generalized Cheeger sets. Zbl 1412.49014Li, Qinfeng; Torres, Monica 7 2019 A direct approach to the anisotropic Plateau problem. Zbl 1416.49051De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco 7 2019 Some special aspects related to the 1-Laplace operator. Zbl 1211.35214Milbers, Z.; Schuricht, F. 7 2011 Conformally constrained Willmore immersions. Zbl 1282.53007Schätzle, Reiner Michael 7 2013 Boundary regularity of optimal transport paths. Zbl 1216.49040Xia, Qinglan 7 2011 A \(C^{1,\alpha}\) partial regularity result for integral functionals with \(p(x)\)-growth condition. Zbl 1354.35008Giannetti, Flavia 7 2016 New examples of conformally constrained Willmore minimizers of explicit type. Zbl 1325.53012Ndiaye, Cheikh Birahim; Schätzle, Reiner Michael 7 2015 Approximation for convex functionals on non-positively curved spaces and the Trotter-Kato product formula. Zbl 1245.47018Stojkovic, Igor 7 2012 Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni 7 2010 Self-improving properties of weighted Hardy inequalities. Zbl 1151.46022Lehrbäck, Juha 6 2008 Estimates for the energy density of critical points of a class of conformally invariant variational problems. Zbl 1283.35031Lamm, Tobias; Lin, Longzhi 6 2013 Functions of bounded variation and curves in metric measure spaces. Zbl 1360.26010Martio, Olli 6 2016 Sobolev homeomorphisms with gradients of low rank via laminates. Zbl 1396.26023Faraco, Daniel; Mora-Corral, Carlos; Oliva, Marcos 6 2018 Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation. Zbl 1364.49013Dal Maso, Gianni; Orlando, Gianluca; Toader, Rodica 6 2017 Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009Koskela, Pekka; Onninen, Jani 6 2008 Semicontinuity and relaxation of \(L^{\infty }\)-functionals. Zbl 1163.49011Prinari, Francesca 6 2009 Optimum and equilibrium in a transport problem with queue penalization effect. Zbl 1166.49040Crippa, Gianluca; Jimenez, Chloé; Pratelli, Aldo 6 2009 Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth. Zbl 1494.49025Gentile, Andrea 2 2022 Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group. Zbl 1494.35150Pucci, Patrizia; Temperini, Letizia 2 2022 Convergence of dynamic programming principles for the \(p\)-Laplacian. Zbl 1486.35235del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko 2 2022 Homogenization of quadratic convolution energies in periodically perforated domains. Zbl 1500.35020Braides, Andrea; Piatnitski, Andrey 1 2022 Rigidity and trace properties of divergence-measure vector fields. Zbl 1491.35122Leonardi, Gian Paolo; Saracco, Giorgio 1 2022 Equivalence between distributional and viscosity solutions for the double-phase equation. Zbl 1500.35184Fang, Yuzhou; Zhang, Chao 1 2022 Vanishing John-Nirenberg spaces. Zbl 1502.42018Tao, Jin; Yang, Dachun; Yuan, Wen 1 2022 On the structure of divergence-free measures on \(\mathbb{R}^2\). Zbl 07604485Bonicatto, Paolo; Gusev, Nikolay A. 1 2022 Constant sign and nodal solutions for superlinear double phase problems. Zbl 1478.35118Gasiński, Leszek; Papageorgiou, Nikolaos S. 15 2021 Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations. Zbl 1476.35048Lian, Wei; Rădulescu, Vicenţiu D.; Xu, Runzhang; Yang, Yanbing; Zhao, Nan 9 2021 The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green’s function. Zbl 1471.35131Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew 8 2021 Boundary rectifiability and elliptic operators with \(W^{1, 1}\) coefficients. Zbl 07306550Toro, Tatiana; Zhao, Zihui 5 2021 On the monotonicity of the principal frequency of the \(p\)-Laplacian. Zbl 1458.35294Bocea, Marian; Mihăilescu, Mihai 5 2021 Sobolev inequalities for fractional Neumann Laplacians on half spaces. Zbl 1459.35100Musina, Roberta; Nazarov, Alexander I. 4 2021 Convergence of the solutions of discounted Hamilton-Jacobi systems. Zbl 1464.35029Davini, Andrea; Zavidovique, Maxime 3 2021 Phase-field approximation for a class of cohesive fracture energies with an activation threshold. Zbl 1476.49018Chambolle, Antonin; Crismale, Vito 2 2021 The variational 1-capacity and BV functions with zero boundary values on doubling metric spaces. Zbl 1468.30098Lahti, Panu 2 2021 Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data. Zbl 1476.35075Carmona, Jose; Colorado, Eduardo; Leonori, Tommaso; Ortega, Alejandro 1 2021 Confined elasticae and the buckling of cylindrical shells. Zbl 1482.74075Wojtowytsch, Stephan 1 2021 Continuity properties of weakly monotone Orlicz-Sobolev functions. Zbl 1469.46027Carozza, Menita; Cianchi, Andrea 1 2021 Sharp weighted isoperimetric and Caffarelli-Kohn-Nirenberg inequalities. Zbl 1467.26016Lam, Nguyen 1 2021 Global invertibility of Sobolev maps. Zbl 1475.74011Henao, Duvan; Mora-Corral, Carlos; Oliva, Marcos 1 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 1480.26004Durand-Cartagena, Estibalitz; Eriksson-Bique, Sylvester; Korte, Riikka; Shanmugalingam, Nageswari 1 2021 Harmonic maps between two concentric annuli in \(\mathbb{R}^3\). Zbl 1467.49007Kalaj, David 1 2021 Homogenization in BV of a model for layered composites in finite crystal plasticity. Zbl 1467.49044Davoli, Elisa; Ferreira, Rita; Kreisbeck, Carolin 1 2021 Regularity for scalar integrals without structure conditions. Zbl 1445.35159Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 26 2020 Multiple solutions of double phase variational problems with variable exponent. Zbl 1454.49006Shi, Xiayang; Rădulescu, Vicenţiu D.; Repovš, Dušan D.; Zhang, Qihu 20 2020 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 10 2020 Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian. Zbl 1437.49006Katzourakis, Nikos; Pryer, Tristan 6 2020 Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms. Zbl 1436.35207Seesanea, Adisak; Verbitsky, Igor E. 4 2020 The Cauchy problem for the Finsler heat equation. Zbl 1445.35193Akagi, Goro; Ishige, Kazuhiro; Sato, Ryuichi 4 2020 On locally essentially bounded divergence measure fields and sets of locally finite perimeter. Zbl 1436.26009Comi, Giovanni E.; Payne, Kevin R. 4 2020 On the Wasserstein distance between mutually singular measures. Zbl 1446.49010Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime 3 2020 The Nitsche phenomenon for weighted Dirichlet energy. Zbl 1450.30039Iwaniec, Tadeusz; Onninen, Jani; Radice, Teresa 1 2020 A group-theoretical approach for nonlinear Schrödinger equations. Zbl 1454.49005Molica Bisci, Giovanni 1 2020 Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian. Zbl 1431.35233Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin 39 2019 Positive solutions for the Robin \(p\)-Laplacian problem with competing nonlinearities. Zbl 1411.35101Gasiński, Leszek; Papageorgiou, Nikolaos S. 24 2019 Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients. Zbl 1406.49040Giova, Raffaella; Passarelli di Napoli, Antonia 22 2019 Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio 17 2019 A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit 12 2019 A unilateral \(L^2\)-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. Zbl 1491.74089Negri, Matteo 9 2019 Morrey spaces and generalized Cheeger sets. Zbl 1412.49014Li, Qinfeng; Torres, Monica 7 2019 A direct approach to the anisotropic Plateau problem. Zbl 1416.49051De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco 7 2019 Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions. Zbl 1426.49044Eichmann, Sascha; Grunau, Hans-Christoph 6 2019 Maximal solutions for the \(\infty\)-eigenvalue problem. Zbl 1414.35077da Silva, João Vitor; Rossi, Julio D.; Salort, Ariel M. 4 2019 Local minimality of the ball for the Gaussian perimeter. Zbl 1416.49052La Manna, Domenico Angelo 3 2019 Perturbation results involving the 1-Laplace operator. Zbl 1428.49051Littig, Samuel; Schuricht, Friedemann 3 2019 Calculus of variations: a differential form approach. Zbl 1407.49021Sil, Swarnendu 2 2019 Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008Convent, Alexandra; Van Schaftingen, Jean 2 2019 Heat ball formulæ for \(k\)-forms on evolving manifolds. Zbl 1415.58016Afuni, Ahmad 1 2019 Sphere-valued harmonic maps with surface energy and the \(K_{13}\) problem. Zbl 1426.58002Day, Stuart; Zarnescu, Arghir Dani 1 2019 On the viscosity solutions of eigenvalue problems for a class of nonlinear elliptic equations. Zbl 1427.35043Bhattacharya, Tilak; Marazzi, Leonardo 1 2019 On a new class of fractional partial differential equations. II. Zbl 1451.35257Shieh, Tien-Tsan; Spector, Daniel E. 18 2018 Regularizing effect for a system of Schrödinger-Maxwell equations. Zbl 1384.35023Boccardo, Lucio; Orsina, Luigi 10 2018 Optimal mass transportation for costs given by Finsler distances via \(p\)-Laplacian approximations. Zbl 1385.49001Igbida, Noureddine; Mazón, José M.; Rossi, Julio D.; Toledo, Julián 8 2018 Sobolev homeomorphisms with gradients of low rank via laminates. Zbl 1396.26023Faraco, Daniel; Mora-Corral, Carlos; Oliva, Marcos 6 2018 Stationary Kirchhoff equations with powers. Zbl 1387.58025Hebey, Emmanuel 5 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 1394.35153Carl, Siegfried; Costa, David G.; Tehrani, Hossein 4 2018 Quasi-static hydraulic crack growth driven by Darcy’s law. Zbl 1387.49061Almi, Stefano 4 2018 A note on transport equation in quasiconformally invariant spaces. Zbl 1387.49040Clop, Albert; Jiang, Renjin; Mateu, Joan; Orobitg, Joan 4 2018 Nonlinear diffusion in transparent media: the resolvent equation. Zbl 1497.35158Giacomelli, Lorenzo; Moll, Salvador; Petitta, Francesco 3 2018 Relative \(\infty\)-capacity and its affinization. Zbl 1380.35052Jiang, Renjin; Xiao, Jie; Yang, Dachun 3 2018 On the continuity of functionals defined on partitions. Zbl 1401.49065Ruf, Matthias 2 2018 Fin junction of ferroelectric thin films. Zbl 1400.49056Carbone, Luciano; Chacouche, Khaled; Gaudiello, Antonio 2 2018 A class of shape optimization problems for some nonlocal operators. Zbl 1401.49061Fernández Bonder, Julián; Ritorto, Antonella; Salort, Ariel Martin 2 2018 Existence and regularity results for weak solutions to \((p,q)\)-elliptic systems in divergence form. Zbl 1394.35163Bulíček, Miroslav; Cupini, Giovanni; Stroffolini, Bianca; Verde, Anna 2 2018 A remark on the two-phase obstacle-type problem for the \(p\)-Laplacian. Zbl 1391.35433Zheng, Jun; Feng, Binhua; Zhao, Peihao 2 2018 On the regularity of solutions of one-dimensional variational obstacle problems. Zbl 1387.49003Mandallena, Jean-Philippe 2 2018 Hölder regularity at the boundary of two-dimensional sliding almost minimal sets. Zbl 1385.49026Fang, Yangqin 2 2018 Jacobian of weak limits of Sobolev homeomorphisms. Zbl 1443.26006Hencl, Stanislav; Onninen, Jani 2 2018 Bellman function approach to the sharp constants in uniform convexity. Zbl 1381.28004Ivanisvili, Paata 2 2018 Dichotomy of global capacity density in metric measure spaces. Zbl 1400.49004Aikawa, Hiroaki; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari 1 2018 Local regularity and compactness for the \(p\)-harmonic map heat flows. Zbl 1395.35062Misawa, Masashi 1 2018 On the structure of flat chains modulo \(p\). Zbl 1394.49043Marchese, Andrea; Stuvard, Salvatore 1 2018 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 27 2017 Existence and multiplicity results for the fractional Laplacian in bounded domains. Zbl 1405.35249Mugnai, Dimitri; Pagliardini, Dayana 13 2017 Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041Goodrich, Christopher S. 11 2017 Energy and area minimizers in metric spaces. 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Zbl 1360.26010Martio, Olli 6 2016 Allard-type boundary regularity for \(C^{1,\alpha}\) boundaries. Zbl 1348.49046Bourni, Theodora 5 2016 ...and 126 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,659 Authors 29 Papageorgiou, Nikolaos S. 21 Squassina, Marco 19 Passarelli di Napoli, Antonia 18 Rădulescu, Vicenţiu D. 17 Schikorra, Armin 16 Zhang, Binlin 15 Mingione, Giuseppe 14 Marcellini, Paolo 14 Pinamonti, Andrea 13 Bögelein, Verena 13 Brasco, Lorenzo 13 Giova, Raffaella 13 Nyström, Kaj 13 Stefanelli, Ulisse 12 De Lellis, Camillo 12 Kuusi, Tuomo 11 Iannizzotto, Antonio 11 Scheven, Christoph 11 Vetro, Calogero 11 Vetro, Francesca 11 Xiang, Mingqi 10 Boccardo, Lucio 10 Chambolle, Antonin 10 De Rosa, Antonio 10 Duzaar, Frank 10 Finster, Felix 10 Goodrich, Christopher S. 10 Mitake, Hiroyoshi 10 Sreenadh, Konijeti 9 Bousquet, Pierre 9 Bulíček, Miroslav 9 De Philippis, Guido 9 Lahti, Panu 9 Liang, Sihua 9 Mora-Corral, Carlos 9 Mosconi, Sunra J. N. 9 Rindler, Filip 9 Rivière, Tristan 9 Winkert, Patrick 9 Zeppieri, Caterina Ida 8 Crismale, Vito 8 Fonseca, Irene 8 Giannetti, Flavia 8 Henao, Duvan A. 8 Malý, Jan 8 Mandallena, Jean-Philippe 8 Mariconda, Carlo 8 Miranda, Michele jun. 8 Monti, Roberto 8 Novaga, Matteo 8 Parviainen, Mikko 8 Rossi, Julio Daniel 8 Song, Yueqiang 8 Süli, Endre E. 8 Treu, Giulia 7 Chen, Wenjing 7 Comi, Giovanni E. 7 Conti, Sergio 7 Dall’Acqua, Anna 7 Eleuteri, Michela 7 Focardi, Matteo 7 Hencl, Stanislav 7 Lotoreichik, Vladimir 7 Lussardi, Luca 7 Marchese, Andrea 7 Mascolo, Elvira 7 Menne, Ulrich 7 Mihăilescu, Mihai 7 Mohammed, Ahmed 7 Repovš, Dušan D. 7 Schiattarella, Roberta 7 Shi, Shaoyun 7 Tran Vinh Hung 7 Wenger, Stefan 6 Anza Hafsa, Omar 6 Bellettini, Giovanni 6 Choudhuri, Debajyoti 6 Citti, Giovanna 6 D’Onofrio, Luigi 6 Fusco, Nicola 6 Gasiński, Leszek 6 Giacomoni, Jacques 6 Gomes, Diogo Luís Aguiar 6 Habermann, Jens 6 Katzourakis, Nikolaos I. 6 Kinnunen, Juha 6 Kreisbeck, Carolin 6 Krömer, Stefan 6 Leonetti, Francesco 6 Lewis, John L. 6 Massaccesi, Annalisa 6 Negri, Matteo 6 Orsina, Luigi 6 Oudet, Edouard 6 Pick, Luboš 6 Pluda, Alessandra 6 Ragusa, Maria Alessandra 6 Ripoll, Jaime Bruck 6 Saoudi, Kamel 6 Spadaro, Emanuele Nunzio ...and 1,559 more Authors all top 5 Cited in 260 Journals 110 Calculus of Variations and Partial Differential Equations 102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 58 Journal of Differential Equations 56 Journal of Mathematical Analysis and Applications 48 The Journal of Geometric Analysis 47 Advances in Calculus of Variations 43 Archive for Rational Mechanics and Analysis 35 Journal of Functional Analysis 31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 SIAM Journal on Mathematical Analysis 25 Complex Variables and Elliptic Equations 24 Advances in Mathematics 24 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Advances in Nonlinear Analysis 20 Proceedings of the American Mathematical Society 19 Mediterranean Journal of Mathematics 18 Potential Analysis 18 NoDEA. Nonlinear Differential Equations and Applications 18 Communications on Pure and Applied Analysis 16 Annals of Global Analysis and Geometry 16 Boundary Value Problems 15 Manuscripta Mathematica 15 Mathematische Annalen 15 Transactions of the American Mathematical Society 14 Discrete and Continuous Dynamical Systems. Series S 14 Journal of Elliptic and Parabolic Equations 13 Applied Mathematics and Optimization 13 Communications in Partial Differential Equations 13 Topological Methods in Nonlinear Analysis 13 Analysis & PDE 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Discrete and Continuous Dynamical Systems 11 Indiana University Mathematics Journal 11 Nonlinear Analysis. Real World Applications 10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Advanced Nonlinear Studies 9 Mathematische Zeitschrift 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Nonlinear Science 9 Mathematics in Engineering 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 Inventiones Mathematicae 6 Pacific Journal of Mathematics 6 Results in Mathematics 6 Forum Mathematicum 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 5 Journal of Mathematical Physics 5 Journal of Geometry and Physics 5 Annales de l’Institut Fourier 5 Zeitschrift für Analysis und ihre Anwendungen 5 Journal of Elasticity 5 Fractional Calculus & Applied Analysis 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Fixed Point Theory and Applications 5 Journal of Pseudo-Differential Operators 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 Applied Mathematics Letters 4 Geometric and Functional Analysis. GAFA 4 Journal of Mathematical Sciences (New York) 4 Opuscula Mathematica 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Differential Equations and Applications 4 Science China. Mathematics 4 Open 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 ...and 160 more Journals all top 5 Cited in 46 Fields 994 Partial differential equations (35-XX) 576 Calculus of variations and optimal control; optimization (49-XX) 265 Differential geometry (53-XX) 190 Global analysis, analysis on manifolds (58-XX) 136 Mechanics of deformable solids (74-XX) 125 Real functions (26-XX) 118 Functional analysis (46-XX) 106 Operator theory (47-XX) 81 Measure and integration (28-XX) 60 Potential theory (31-XX) 53 Functions of a complex variable (30-XX) 42 Numerical analysis (65-XX) 32 Fluid mechanics (76-XX) 29 Dynamical systems and ergodic theory (37-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 22 Ordinary differential equations (34-XX) 22 Convex and discrete geometry (52-XX) 21 Operations research, mathematical programming (90-XX) 19 Probability theory and stochastic processes (60-XX) 16 Integral equations (45-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Geometry (51-XX) 12 Quantum theory (81-XX) 12 Information and communication theory, circuits (94-XX) 11 Topological groups, Lie groups (22-XX) 11 Several complex variables and analytic spaces (32-XX) 10 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) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 4 General topology (54-XX) 4 Systems theory; control (93-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 2 Algebraic geometry (14-XX) Citations by Year