# zbMATH — the first resource for mathematics

## 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: 246 Publications (since 2008) References Indexed: 186 Publications with 4,125 References.
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#### Latest Issues

 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)
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#### Authors

 5 Mandallena, Jean-Philippe 4 Chambolle, Antonin 4 Dal Maso, Gianni 4 Onninen, Jani 3 Bulíček, Miroslav 3 Grunau, Hans-Christoph 3 Krömer, Stefan 3 Mora-Corral, Carlos 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 De Lellis, Camillo 2 Duzaar, Frank 2 Ferrari, Luca Alberto Davide 2 Gianazza, Ugo Pietro 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 Lewis, John L. 2 Lorent, Andrew 2 Marcellini, Paolo 2 Marchese, Andrea 2 Mascolo, Elvira 2 Masnou, Simon 2 Mazón Ruiz, José M. 2 Merlet, Benoît 2 Mielke, Alexander 2 Mohammed, Ahmed 2 Moser, Roger 2 Mucci, Domenico 2 Negri, Matteo 2 Novaga, Matteo 2 Oliva, Marcos 2 Orsina, Luigi 2 Paolini, Maurizio 2 Papageorgiou, Nikolaos S. 2 Passarelli di Napoli, Antonia 2 Pisante, Giovanni 2 Pratelli, Aldo 2 Rădulescu, Vicenţiu D. 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 Spector, Daniel E. 2 Strzelecki, Paweł 2 Tomi, Friedrich 2 Wang, Changyou 2 Wenger, Stefan 2 Xia, Qinglan 2 Xiao, Jie 1 Afuni, Ahmad 1 Agueh, Martial 1 Aikawa, Hiroaki 1 Akagi, Goro 1 Akman, Murat 1 Alberico, Angela 1 Almi, Stefano 1 Amato, Stefano 1 Antunes, Pedro Ricardo Simão 1 Arroyo-Rabasa, Adolfo 1 Baird, Paul 1 Bandeira, Luís 1 Bandyopadhyay, Saugata 1 Beck, Lisa 1 Bellettini, Costante ...and 273 more Authors
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#### Fields

 138 Calculus of variations and optimal control; optimization (49-XX) 117 Partial differential equations (35-XX) 34 Differential geometry (53-XX) 31 Global analysis, analysis on manifolds (58-XX) 26 Real functions (26-XX) 22 Mechanics of deformable solids (74-XX) 19 Functional analysis (46-XX) 15 Functions of a complex variable (30-XX) 14 Measure and integration (28-XX) 14 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 Probability theory and stochastic processes (60-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 General topology (54-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 Combinatorics (05-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 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

200 Publications have been cited 1,406 times in 1,207 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
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
A note on the Wolff potential estimate for solutions to elliptic equations involving measures. Zbl 1182.35222
Korte, Riikka; Kuusi, Tuomo
2010
Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090
Gomes, Diogo Aguiar
2008
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $$p$$-Laplacian. Zbl 1431.35233
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
2019
Lusin’s condition and the distributional determinant for deformations with finite energy. Zbl 1252.49016
Henao, Duvan; Mora-Corral, Carlos
2012
Liouville-type theorems for biharmonic maps between Riemannian manifolds. Zbl 1185.31004
Baird, Paul; Fardoun, Ali; Ouakkas, Seddik
2010
Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data. Zbl 1213.49050
Dall’Acqua, Anna; Fröhlich, Steffen; Grunau, Hans-Christoph; Schieweck, Friedhelm
2011
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
Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs. Zbl 1188.53027
Bigolin, Francesco; Serra Cassano, Francesco
2010
Existence and uniqueness for elliptic equations with lower-order terms. Zbl 1232.35051
Moscariello, Gioconda
2011
On solutions to Dirichlet problems involving the infinity-Laplacian. Zbl 1232.35056
Bhattacharya, Tilak; Mohammed, Ahmed
2011
Lower semicontinuity and Young measures in BV without Alberti’s Rank-One Theorem. Zbl 1239.49018
Rindler, Filip
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
On a new class of fractional partial differential equations. Zbl 1330.35510
Shieh, Tien-Tsan; Spector, Daniel E.
2015
The Steiner tree problem revisited through rectifiable $$G$$-currents. Zbl 1334.49143
Marchese, Andrea; Massaccesi, Annalisa
2016
Existence and soap film regularity of solutions to Plateau’s problem. Zbl 1361.49008
Harrison, Jenny; Pugh, Harrison
2016
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
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
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
2008
Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients. Zbl 1406.49040
Giova, Raffaella; Passarelli di Napoli, Antonia
2019
A comparative analysis on variational models for quasi-static brittle crack propagation. Zbl 1193.49055
Negri, Matteo
2010
$$n/p$$-harmonic maps: regularity for the sphere case. Zbl 1281.49034
Da Lio, Francesca; Schikorra, Armin
2014
Fracture and plastic models as $$\Gamma$$-limits of damage models under different regimes. Zbl 1379.74003
Iurlano, Flaviana
2013
On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds. Zbl 1305.49067
Brasco, Lorenzo; Carlier, Guillaume
2014
Lipschitz conformal immersions from degenerating Riemann surfaces with $$L^2$$-bounded second fundamental forms. Zbl 1304.30033
Rivière, Tristan
2013
Regularity theorems for degenerate quasiconvex energies with $$(p, q)$$-growth. Zbl 1151.49031
Schmidt, Thomas
2008
A second derivative Hölder estimate for weak mean curvature flow. Zbl 1283.53064
Tonegawa, Yoshihiro
2014
Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284
Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David
2017
Stability for degenerate parabolic equations. Zbl 1185.35123
Kinnunen, Juha; Parviainen, Mikko
2010
Positive solutions for the Robin $$p$$-Laplacian problem with competing nonlinearities. Zbl 1411.35101
Gasiński, Leszek; Papageorgiou, Nikolaos S.
2019
Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006
Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo
2012
Large solutions for the infinity Laplacian. Zbl 1158.35371
Juutinen, Petri; Rossi, Julio D.
2008
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
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
2020
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. Zbl 1433.46026
Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio
2019
On a new class of fractional partial differential equations. II. Zbl 1451.35257
Shieh, Tien-Tsan; Spector, Daniel E.
2018
Heisenberg isoperimetric problem. The axial case. Zbl 1149.49036
Monti, Roberto
2008
A planar bi-Lipschitz extension theorem. Zbl 1331.26020
Daneri, Sara; Pratelli, Aldo
2015
A curious equation involving the $$\infty$$-Laplacian. Zbl 1200.49026
Lindqvist, Peter; Lukkari, Teemu
2010
Asymptotic analysis for fourth order Paneitz equations with critical growth. Zbl 1251.58005
Hebey, Emmanuel; Robert, Frédéric
2011
Boundary regularity for polyharmonic maps in the critical dimension. Zbl 1165.31004
Lamm, Tobias; Wang, Changyou
2009
A phase-field approximation of the Steiner problem in dimension two. Zbl 1412.49085
Chambolle, Antonin; Ferrari, Luca Alberto Davide; Merlet, Benoit
2019
Existence and multiplicity results for the fractional Laplacian in bounded domains. Zbl 1405.35249
Mugnai, Dimitri; Pagliardini, Dayana
2017
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2017
Partial Hölder continuity of minimizers of functionals satisfying a VMO condition. Zbl 1366.49041
Goodrich, Christopher S.
2017
Comparison between second variation of area and second variation of energy of a minimal surface. Zbl 1163.58006
Ejiri, Norio; Micallef, Mario
2008
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039
Bernard, Yann; Finster, Felix
2014
Energy and area minimizers in metric spaces. Zbl 1376.49052
Lytchak, Alexander; Wenger, Stefan
2017
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
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
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
Local regularity results for value functions of tug-of-war with noise and running payoff. Zbl 1331.35069
Ruosteenoja, Eero
2016
Regularity of minimizers of the area functional in metric spaces. Zbl 1305.49069
Hakkarainen, Heikki; Kinnunen, Juha; Lahti, Panu
2015
Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012
Hildebrandt, Stefan; von der Mosel, Heiko
2009
Some applications of the isoperimetric inequality for integral varifolds. Zbl 1166.49038
Menne, Ulrich
2009
Energy quantization for biharmonic maps. Zbl 1275.35098
Laurain, Paul; Rivière, Tristan
2013
A remark on the anisotropic outer Minkowski content. Zbl 1294.28005
Chambolle, Antonin; Lisini, Stefano; Lussardi, Luca
2014
Stability of equilibrium configurations for elastic films in two and three dimensions. Zbl 1322.49033
Bonacini, Marco
2015
Characterizations for fractional Hardy inequality. Zbl 1315.26021
Dyda, Bartłomiej; Vähäkangas, Antti V.
2015
Boundary continuity of solutions to a basic problem in the calculus of variations. Zbl 1187.49002
Bousquet, Pierre
2010
Hölder regularity for a classical problem of the calculus of variations. Zbl 1178.49047
Mariconda, Carlo; Treu, Giulia
2009
Serrin’s over-determined problem on Riemannian manifolds. Zbl 1326.58011
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide
2015
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
A $$C^{1,\alpha}$$ partial regularity result for integral functionals with $$p(x)$$-growth condition. Zbl 1354.35008
Giannetti, Flavia
2016
Conformally constrained Willmore immersions. Zbl 1282.53007
Schätzle, Reiner Michael
2013
A unilateral $$L^2$$-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. Zbl 07003374
Negri, Matteo
2019
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
Approximation for convex functionals on non-positively curved spaces and the Trotter-Kato product formula. Zbl 1245.47018
Stojkovic, Igor
2012
Boundary regularity of optimal transport paths. Zbl 1216.49040
Xia, Qinglan
2011
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
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Some special aspects related to the 1-Laplace operator. Zbl 1211.35214
Milbers, Z.; Schuricht, F.
2011
Nonlocal character of the reduced theory of thin films with higher order perturbations. Zbl 1195.49019
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni
2010
Fibered nonlinearities for $$p(x)$$-Laplace equations. Zbl 1175.35069
Chermisi, Milena; Valdinoci, Enrico
2009
Noether’s theorem and the Willmore functional. Zbl 1343.58008
Bernard, Yann
2016
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
Luzin’s condition (N) and modulus of continuity. Zbl 1315.26008
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
2015
An example of an infinite Steiner tree connecting an uncountable set. Zbl 1345.49051
Paolini, Emanuele; Stepanov, Eugene; Teplitskaya, Yana
2015
Discontinuous solutions to the two-valued minimal surface equation. Zbl 1226.49037
Rosales, Leobardo
2011
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
2017
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
2017
Bounds for some minimizing sequences of functionals. Zbl 1206.49040
Leonetti, Francesco; Petricca, Pier Vincenzo
2011
Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009
Koskela, Pekka; Onninen, Jani
2008
Semicontinuity and relaxation of $$L^{\infty }$$-functionals. Zbl 1163.49011
Prinari, Francesca
2009
Optimum and equilibrium in a transport problem with queue penalization effect. Zbl 1166.49040
Crippa, Gianluca; Jimenez, Chloé; Pratelli, Aldo
2009
Second-order $$L^\infty$$ variational problems and the $$\infty$$-polylaplacian. Zbl 1437.49006
Katzourakis, Nikos; Pryer, Tristan
2020
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
Self-improving properties of weighted Hardy inequalities. Zbl 1151.46022
Lehrbäck, Juha
2008
Estimates for the energy density of critical points of a class of conformally invariant variational problems. Zbl 1283.35031
Lamm, Tobias; Lin, Longzhi
2013
Gradient Young measures, varifolds, and a generalized Willmore functional. Zbl 1275.49020
Masnou, Simon; Nardi, Giacomo
2013
The Brunn-Minkowski inequality and a Minkowski problem for $$\mathcal{A}$$-harmonic Green’s function. Zbl 07347007
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew
2021
Boundary rectifiability and elliptic operators with $$W^{1, 1}$$ coefficients. Zbl 07306550
Toro, Tatiana; Zhao, Zihui
2021
Harmonic maps between two concentric annuli in $$\mathbb{R}^3$$. Zbl 1467.49007
Kalaj, David
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
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
2020
Second-order $$L^\infty$$ variational problems and the $$\infty$$-polylaplacian. Zbl 1437.49006
Katzourakis, Nikos; Pryer, Tristan
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
Multiple solutions of double phase variational problems with variable exponent. Zbl 1454.49006
Shi, Xiayang; Rădulescu, Vicenţiu D.; Repovš, Dušan D.; Zhang, Qihu
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
The Nitsche phenomenon for weighted Dirichlet energy. Zbl 1450.30039
2020
Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $$p$$-Laplacian. Zbl 1431.35233
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin
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
Positive solutions for the Robin $$p$$-Laplacian problem with competing nonlinearities. Zbl 1411.35101
Gasiński, Leszek; Papageorgiou, Nikolaos S.
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 07003374
Negri, Matteo
2019
Existence for Willmore surfaces of revolution satisfying non-symmetric Dirichlet boundary conditions. Zbl 1426.49044
Eichmann, Sascha; Grunau, Hans-Christoph
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
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
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
Calculus of variations: a differential form approach. Zbl 1407.49021
Sil, Swarnendu
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
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
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
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ 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
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
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
Quasi-static hydraulic crack growth driven by Darcy’s law. Zbl 1387.49061
Almi, Stefano
2018
Dichotomy of global capacity density in metric measure spaces. Zbl 1400.49004
Aikawa, Hiroaki; Björn, Anders; Björn, Jana; Shanmugalingam, Nageswari
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
A remark on the two-phase obstacle-type problem for the $$p$$-Laplacian. Zbl 1391.35433
Zheng, Jun; Feng, Binhua; Zhao, Peihao
2018
Hölder regularity at the boundary of two-dimensional sliding almost minimal sets. Zbl 1385.49026
Fang, Yangqin
2018
Bellman function approach to the sharp constants in uniform convexity. Zbl 1381.28004
Ivanisvili, Paata
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
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
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
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
A quantitative isoperimetric inequality on the sphere. Zbl 1370.49039
Bögelein, Verena; Duzaar, Frank; Fusco, Nicola
2017
On interpolation and curvature via Wasserstein geodesics. Zbl 1454.58017
Kell, Martin
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
Regularity and quantification for harmonic maps with free boundary. Zbl 1370.58005
Laurain, Paul; Petrides, Romain
2017
Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces. Zbl 1366.35076
Fujishima, Yohei; Habermann, Jens
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
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
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
The Steiner tree problem revisited through rectifiable $$G$$-currents. Zbl 1334.49143
Marchese, Andrea; Massaccesi, Annalisa
2016
Existence and soap film regularity of solutions to Plateau’s problem. Zbl 1361.49008
Harrison, Jenny; Pugh, Harrison
2016
Local regularity results for value functions of tug-of-war with noise and running payoff. Zbl 1331.35069
Ruosteenoja, Eero
2016
A $$C^{1,\alpha}$$ partial regularity result for integral functionals with $$p(x)$$-growth condition. Zbl 1354.35008
Giannetti, Flavia
2016
Noether’s theorem and the Willmore functional. Zbl 1343.58008
Bernard, Yann
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
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
A Neumann problem involving the $$p(x)$$-Laplacian with $$p=\infty$$ in a subdomain. Zbl 1331.35141
Karagiorgos, Yiannis; Yannakakis, Nikos
2016
Nonsolvability of the asymptotic Dirichlet problem for the $$p$$-Laplacian on Cartan-Hadamard manifolds. Zbl 1342.58011
Holopainen, Ilkka
2016
Gaussian $$\mathcal{BV}$$ capacity. Zbl 1342.28029
Xiao, Jie
2016
On linear degenerate elliptic PDE systems with constant coefficients. Zbl 1343.35117
Katzourakis, Nikos
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
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
Characterizations for fractional Hardy inequality. Zbl 1315.26021
Dyda, Bartłomiej; Vähäkangas, Antti V.
2015
Serrin’s over-determined problem on Riemannian manifolds. Zbl 1326.58011
Fall, Mouhamed Moustapha; Minlend, Ignace Aristide
2015
Bi-Sobolev homeomorphism with zero minors almost everywhere. Zbl 1316.26012
Černý, Robert
2015
Fine properties of the subdifferential for a class of one-homogeneous functionals. Zbl 1334.49047
Chambolle, Antonin; Goldman, Michael; Novaga, Matteo
2015
Luzin’s condition (N) and modulus of continuity. Zbl 1315.26008
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
2015
An example of an infinite Steiner tree connecting an uncountable set. Zbl 1345.49051
Paolini, Emanuele; Stepanov, Eugene; Teplitskaya, Yana
2015
Bifurcation and symmetry breaking of nodoids with fixed boundary. Zbl 1381.58005
Koiso, Miyuki; Palmer, Bennett; Piccione, Paolo
2015
Regularity theory for tangent-point energies: the non-degenerate sub-critical case. Zbl 1322.49060
Blatt, Simon; Reiter, Philipp
2015
New examples of conformally constrained Willmore minimizers of explicit type. Zbl 1325.53012
Ndiaye, Cheikh Birahim; Schätzle, Reiner Michael
2015
On the relaxation of variational integrals in metric Sobolev spaces. Zbl 1305.49018
Anza Hafsa, Omar; Mandallena, Jean-Philippe
2015
The gradient structure of the mean curvature flow. Zbl 1320.53096
Zaal, Martijn M.
2015
Quasiconvexity equals lamination convexity for isotropic sets of $$2\times2$$ matrices. Zbl 1307.26016
Heinz, Sebastian
2015
Higher differentiability of minimizers of variational integrals with Sobolev coefficients. Zbl 1280.49058
Passarelli di Napoli, Antonia
2014
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
$$n/p$$-harmonic maps: regularity for the sphere case. Zbl 1281.49034
Da Lio, Francesca; Schikorra, Armin
2014
...and 100 more Documents
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#### Cited by 1,293 Authors

 21 Squassina, Marco 19 Passarelli di Napoli, Antonia 15 Mingione, Giuseppe 14 Papageorgiou, Nikolaos S. 14 Schikorra, Armin 13 Nyström, Kaj 13 Pinamonti, Andrea 13 Stefanelli, Ulisse 12 Bögelein, Verena 12 Brasco, Lorenzo 12 Kuusi, Tuomo 12 Zhang, Binlin 11 De Lellis, Camillo 11 Giova, Raffaella 11 Marcellini, Paolo 9 Duzaar, Frank 9 Iannizzotto, Antonio 9 Mora-Corral, Carlos 9 Mosconi, Sunra J. N. 9 Rădulescu, Vicenţiu D. 9 Scheven, Christoph 9 Xiang, Mingqi 8 Bousquet, Pierre 8 Finster, Felix 8 Giannetti, Flavia 8 Goodrich, Christopher S. 8 Henao, Duvan A. 8 Lahti, Panu 8 Mariconda, Carlo 8 Mitake, Hiroyoshi 8 Rindler, Filip 8 Sreenadh, Konijeti 7 Conti, Sergio 7 Dall’Acqua, Anna 7 De Philippis, Guido 7 De Rosa, Antonio 7 Hencl, Stanislav 7 Malý, Jan 7 Mandallena, Jean-Philippe 7 Marchese, Andrea 7 Menne, Ulrich 7 Miranda, Michele jun. 7 Mohammed, Ahmed 7 Monti, Roberto 7 Novaga, Matteo 7 Parviainen, Mikko 7 Rivière, Tristan 7 Rossi, Julio Daniel 7 Schiattarella, Roberta 7 Treu, Giulia 6 Boccardo, Lucio 6 Bulíček, Miroslav 6 Chambolle, Antonin 6 Chen, Wenjing 6 Citti, Giovanna 6 Crismale, Vito 6 D’Onofrio, Luigi 6 Eleuteri, Michela 6 Focardi, Matteo 6 Fusco, Nicola 6 Habermann, Jens 6 Katzourakis, Nikolaos I. 6 Krömer, Stefan 6 Leonetti, Francesco 6 Liang, Sihua 6 Mascolo, Elvira 6 Massaccesi, Annalisa 6 Pluda, Alessandra 6 Shi, Shaoyun 6 Song, Yueqiang 6 Spadaro, Emanuele Nunzio 6 Tran Vinh Hung 6 Valdinoci, Enrico 6 Vetro, Calogero 6 Wang, Changyou 6 Wenger, Stefan 6 Zecca, Gabriella 6 Zeppieri, Caterina Ida 5 Anza Hafsa, Omar 5 Bellettini, Giovanni 5 Bergner, Matthias 5 Branding, Volker 5 Clop, Albert 5 Eichmann, Sascha 5 Gomes, Diogo Luís Aguiar 5 Grunau, Hans-Christoph 5 Hara, Takanobu 5 Lamm, Tobias 5 Lehrbäck, Juha 5 Lewis, John L. 5 Luo, Yong 5 Lytchak, Alexander 5 Molica Bisci, Giovanni 5 Mukherjee, Tuhina 5 Negri, Matteo 5 Oudet, Edouard 5 Pallara, Diego 5 Paolini, Maurizio 5 Pick, Luboš 5 Prinari, Francesca ...and 1,193 more Authors
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#### Cited in 213 Journals

 102 Calculus of Variations and Partial Differential Equations 87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 46 Journal of Differential Equations 41 Journal of Mathematical Analysis and Applications 37 Archive for Rational Mechanics and Analysis 32 The Journal of Geometric Analysis 32 Advances in Calculus of Variations 30 Journal of Functional Analysis 28 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Advances in Mathematics 21 SIAM Journal on Mathematical Analysis 20 Annali di Matematica Pura ed Applicata. Serie Quarta 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Potential Analysis 16 Complex Variables and Elliptic Equations 15 Proceedings of the American Mathematical Society 15 NoDEA. Nonlinear Differential Equations and Applications 15 Communications on Pure and Applied Analysis 14 Annals of Global Analysis and Geometry 14 Advances in Nonlinear Analysis 13 Manuscripta Mathematica 13 Transactions of the American Mathematical Society 12 Mediterranean Journal of Mathematics 11 Mathematische Annalen 11 Communications in Partial Differential Equations 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Discrete and Continuous Dynamical Systems. Series S 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Applied Mathematics and Optimization 8 Discrete and Continuous Dynamical Systems 8 Milan Journal of Mathematics 8 Journal of Elliptic and Parabolic Equations 7 Journal of Nonlinear Science 7 Electronic Journal of Differential Equations (EJDE) 7 Interfaces and Free Boundaries 7 Communications in Contemporary Mathematics 7 Advanced Nonlinear Studies 6 Applicable Analysis 6 Journal für die Reine und Angewandte Mathematik 6 Mathematische Zeitschrift 6 Revista Matemática Iberoamericana 6 Topological Methods in Nonlinear Analysis 6 Journal of Convex Analysis 6 Journal of Evolution Equations 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 Indiana University Mathematics Journal 5 Inventiones Mathematicae 5 Zeitschrift für Analysis und ihre Anwendungen 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Elasticity 5 Bulletin des Sciences Mathématiques 5 Boundary Value Problems 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Fixed Point Theory and Applications 4 Communications on Pure and Applied Mathematics 4 Journal d’Analyse Mathématique 4 Nonlinearity 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 Annales Academiae Scientiarum Fennicae. Mathematica 4 Nonlinear Analysis. Real World Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis & PDE 4 Differential Equations and Applications 4 Annales Fennici Mathematici 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Inverse Problems 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Annales de l’Institut Fourier 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 Forum Mathematicum 3 Revista Matemática Complutense 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Applications (Singapore) 3 Science China. Mathematics 3 Analysis and Mathematical Physics 3 Bollettino dell’Unione Matematica Italiana 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series ...and 113 more Journals
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#### Cited in 45 Fields

 706 Partial differential equations (35-XX) 458 Calculus of variations and optimal control; optimization (49-XX) 206 Differential geometry (53-XX) 156 Global analysis, analysis on manifolds (58-XX) 107 Mechanics of deformable solids (74-XX) 96 Real functions (26-XX) 96 Functional analysis (46-XX) 75 Operator theory (47-XX) 63 Measure and integration (28-XX) 43 Potential theory (31-XX) 42 Functions of a complex variable (30-XX) 33 Numerical analysis (65-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Fluid mechanics (76-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Ordinary differential equations (34-XX) 19 Operations research, mathematical programming (90-XX) 15 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Integral equations (45-XX) 12 Convex and discrete geometry (52-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Geometry (51-XX) 10 Information and communication theory, circuits (94-XX) 9 Topological groups, Lie groups (22-XX) 9 Mechanics of particles and systems (70-XX) 8 Difference and functional equations (39-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Manifolds and cell complexes (57-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 5 Combinatorics (05-XX) 5 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 4 Systems theory; control (93-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX)