Edit Profile (opens in new tab) De Philippis, Guido Compute Distance To: Compute Author ID: de-philippis.guido Published as: De Philippis, Guido; De Philippis, G.; de Philippis, Guido; de Philippis, G.; Philippis, G. De more...less Homepage: http://people.sissa.it/~gdephili/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Awards: EMS Prize (2016) Documents Indexed: 64 Publications since 2009, including 1 Book 2 Contributions as Editor · 1 Further Contribution Co-Authors: 48 Co-Authors with 63 Joint Publications 838 Co-Co-Authors all top 5 Co-Authors 4 single-authored 13 Figalli, Alessio 8 Rindler, Filip 5 Ambrosio, Luigi 5 Maggi, Francesco 5 Velichkov, Bozhidar 4 Brasco, Lorenzo 4 Colombo, Maria 4 De Rosa, Antonio 4 Ghiraldin, Francesco 4 Hirsch, Jonas 3 Crasta, Graziano 3 De Cicco, Virginia 3 De Lellis, Camillo 3 Marini, Michele 3 Pratelli, Aldo 2 Arroyo-Rabasa, Adolfo 2 Cagnetti, Filippo 2 Focardi, Matteo 2 Franzina, Giovanni 2 Gigli, Nicola 2 Kirchheim, Bernd 2 Schoen, Richard Melvin 1 Charro, Fernando 1 di Castro, Agnese 1 Fusco, Nicola 1 Goldman, Michael 1 Lamboley, Jimmy 1 Laux, Tim 1 Marchese, Andrea 1 Marino, S. Di 1 Martinazzi, Luca 1 Massaccesi, Annalisa 1 Máximo, Davi 1 Mazzucchelli, Marco 1 Mészáros, Alpár Richárd 1 Mukoseeva, Ekaterina 1 Núñez-Zimbrón, Jesús 1 Palmieri, Luca 1 Paolini, Emanuele 1 Pierre, Michel 1 Ros-Oton, Xavier 1 Ruffini, Berardo 1 Santambrogio, Filippo 1 Savin, Ovidiu V. 1 Schulze, Felix 1 Spadaro, Emanuele Nunzio 1 Spolaor, Luca 1 Suhr, Stefan 1 Tione, Riccardo 1 Topping, Peter Miles 1 Weiss, Georg Sebastian all top 5 Serials 5 Archive for Rational Mechanics and Analysis 3 Manuscripta Mathematica 3 Communications in Partial Differential Equations 2 Inventiones Mathematicae 2 Journal of Differential Geometry 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Tesi. Scuola Normale Superiore di Pisa (Nuova Serie) 1 Journal of Fixed Point Theory and Applications 1 Advances in Calculus of Variations 1 Journal de l’École Polytechnique – Mathématiques 1 Mathematics in Engineering all top 5 Fields 45 Calculus of variations and optimal control; optimization (49-XX) 33 Partial differential equations (35-XX) 15 Differential geometry (53-XX) 11 Measure and integration (28-XX) 6 Real functions (26-XX) 5 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Potential theory (31-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 824 times in 604 Documents Cited by ▼ Year ▼ Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 95 2011 On the structure of \({\mathcal A}\)-free measures and applications. Zbl 1352.49050De Philippis, Guido; Rindler, Filip 54 2016 The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770De Philippis, Guido; Figalli, Alessio 50 2014 Faber-Krahn inequalities in sharp quantitative form. Zbl 1334.49149Brasco, Lorenzo; De Philippis, Guido; Velichkov, Bozhidar 43 2015 \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation. Zbl 1286.35107De Philippis, Guido; Figalli, Alessio 36 2013 Non-collapsed spaces with Ricci curvature bounded from below. (Espaces “non-collapsed” avec courbure de Ricci minorée.) Zbl 1409.53038De Philippis, Guido; Gigli, Nicola 35 2018 Spectral inequalities in quantitative form. Zbl 1373.49051Brasco, Lorenzo; De Philippis, Guido 25 2017 From volume cone to metric cone in the nonsmooth setting. Zbl 1356.53049De Philippis, Guido; Gigli, Nicola 24 2016 Existence and regularity of minimizers for some spectral functionals with perimeter constraint. Zbl 1297.49077De Philippis, Guido; Velichkov, Bozhidar 24 2014 \(BV\) estimates in optimal transportation and applications. Zbl 1333.49051De Philippis, Guido; Mészáros, Alpár Richárd; Santambrogio, Filippo; Velichkov, Bozhidar 23 2016 Spectral optimization for the Stekloff-Laplacian: The stability issue. Zbl 1245.35076Brasco, Lorenzo; De Philippis, Guido; Ruffini, Berardo 23 2012 Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. Zbl 1396.49044De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 22 2018 A note on interior \(W^{2,1+ \varepsilon }\) estimates for the Monge-Ampère equation. Zbl 1280.35153De Philippis, G.; Figalli, A.; Savin, O. 22 2013 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 21 2012 Partial regularity for optimal transport maps. Zbl 1325.49051De Philippis, Guido; Figalli, Alessio 20 2015 A direct approach to Plateau’s problem in any codimension. Zbl 1335.49067De Philippis, G.; De Rosa, A.; Ghiraldin, F. 19 2016 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip 17 2019 Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law. Zbl 1321.35158De Philippis, G.; Maggi, F. 17 2015 A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 17 2014 Characterization of generalized Young measures generated by symmetric gradients. Zbl 1372.49018De Philippis, Guido; Rindler, Filip 15 2017 Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. Zbl 1326.35197Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 14 2015 Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness. Zbl 1338.35288Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido; Ghiraldin, Francesco 13 2016 Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps. Zbl 1278.35090De Philippis, Guido; Figalli, Alessio 13 2013 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 10 2020 Existence results for minimizers of parametric elliptic functionals. Zbl 1436.49055De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 10 2020 On the approximation of SBV functions. Zbl 1366.26020de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo 10 2017 Existence of isoperimetric sets with densities “converging from below” on \({\mathbb {R}}^N\). Zbl 1371.49037De Philippis, Guido; Franzina, Giovanni; Pratelli, Aldo 10 2017 On a conjecture of Cheeger. Zbl 1485.53052De Philippis, Guido; Marchese, Andrea; Rindler, Filip 10 2017 Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050De Philippis, Guido; Figalli, Alessio 9 2017 Optimal regularity of the convex envelope. Zbl 1316.49019De Philippis, Guido; Figalli, Alessio 9 2015 A short proof of the minimality of Simons cone. Zbl 1165.53305De Philippis, Guido; Paolini, Emanuele 9 2009 The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018De Philippis, G.; Pratelli, A. 7 2020 Sharp stability inequalities for the Plateau problem. Zbl 1293.49103De Philippis, G.; Maggi, F. 7 2014 On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian. Zbl 1282.35163Charro, Fernando; De Philippis, Guido; Di Castro, Agnese; Máximo, Davi 7 2013 Regularity of the free boundary for the two-phase Bernoulli problem. Zbl 1473.35664De Philippis, Guido; Spolaor, Luca; Velichkov, Bozhidar 6 2021 Weak notions of Jacobian determinant and relaxation. Zbl 1242.49025De Philippis, Guido 6 2012 Rigidity of equality cases in Steiner’s perimeter inequality. Zbl 1327.49069Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 6 2014 A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 6 2013 The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals. Zbl 1431.49046De Philippis, Guido; De Rosa, Antonio; Hirsch, Jonas 5 2019 On the two-state problem for general differential operators. Zbl 1403.35335De Philippis, Guido; Palmieri, Luca; Rindler, Filip 5 2018 Sobolev regularity for Monge-Ampère type equations. Zbl 1271.49031De Philippis, Guido; Figalli, Alessio 5 2013 Essential connectedness and the rigidity problem for Gaussian symmetrization. Zbl 1361.49012Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 4 2017 Dimensional estimates for singular sets in geometric variational problems with free boundaries. Zbl 1366.49057De Philippis, Guido; Maggi, Francesco 4 2017 A note on the dimension of the singular set in free interface problems. Zbl 1340.49044De Philippis, Guido; Figalli, Alessio 4 2015 Regularity of minimizers of shape optimization problems involving perimeter. Zbl 1381.49044De Philippis, Guido; Lamboley, Jimmy; Pierre, Michel; Velichkov, Bozhidar 3 2018 Implicit time discretization for the mean curvature flow of mean convex sets. Zbl 1471.53073De Philippis, Guido; Laux, Tim 3 2020 The sharp quantitative isocapacitary inequality. Zbl 1479.31004De Philippis, Guido; Marini, Michele; Mukoseeva, Ekaterina 3 2021 Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa 3 2019 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 3 2021 Higher integrability for minimizers of the Mumford-Shah functional. Zbl 1316.49044De Philippis, Guido; Figalli, Alessio 3 2014 Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd 3 2011 A note on Petty’s theorem. Zbl 1314.52003Marini, Michele; De Philippis, Guido 2 2014 Regularity of optimal transport maps and applications. Zbl 1273.49002De Philippis, Guido 2 2013 Geometric measure theory and differential inclusions. Zbl 1494.49028De Lellis, Camillo; De Philippis, Guido; Kirchheim, Bernd; Tione, Riccardo 2 2021 On the structure of measures constrained by linear PDES. Zbl 1448.35099De Philippis, Guido; Rindler, Filip 1 2018 On the singular part of measures constrained by linear PDEs and applications. Zbl 1406.35011De Philippis, Guido 1 2018 Lower semi-continuity for non-coercive polyconvex integrals in the limit case. Zbl 1344.49021Philippis, G. De; Marino, S. Di; Focardi, M. 1 2016 Partial regularity results in optimal transportation. Zbl 1323.49023de Philippis, G.; Figalli, A. 1 2014 Closed geodesics on reversible Finsler 2-spheres. Zbl 1496.53058De Philippis, Guido; Marini, Michele; Mazzucchelli, Marco; Suhr, Stefan 1 2022 Fine properties of functions of bounded deformation – an approach via linear PDEs. Zbl 1487.35001De Philippis, Guido; Rindler, Filip 1 2020 Closed geodesics on reversible Finsler 2-spheres. Zbl 1496.53058De Philippis, Guido; Marini, Michele; Mazzucchelli, Marco; Suhr, Stefan 1 2022 Regularity of the free boundary for the two-phase Bernoulli problem. Zbl 1473.35664De Philippis, Guido; Spolaor, Luca; Velichkov, Bozhidar 6 2021 The sharp quantitative isocapacitary inequality. Zbl 1479.31004De Philippis, Guido; Marini, Michele; Mukoseeva, Ekaterina 3 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 3 2021 Geometric measure theory and differential inclusions. Zbl 1494.49028De Lellis, Camillo; De Philippis, Guido; Kirchheim, Bernd; Tione, Riccardo 2 2021 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 10 2020 Existence results for minimizers of parametric elliptic functionals. Zbl 1436.49055De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 10 2020 The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018De Philippis, G.; Pratelli, A. 7 2020 Implicit time discretization for the mean curvature flow of mean convex sets. Zbl 1471.53073De Philippis, Guido; Laux, Tim 3 2020 Fine properties of functions of bounded deformation – an approach via linear PDEs. Zbl 1487.35001De Philippis, Guido; Rindler, Filip 1 2020 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip 17 2019 The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals. Zbl 1431.49046De Philippis, Guido; De Rosa, Antonio; Hirsch, Jonas 5 2019 Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa 3 2019 Non-collapsed spaces with Ricci curvature bounded from below. (Espaces “non-collapsed” avec courbure de Ricci minorée.) Zbl 1409.53038De Philippis, Guido; Gigli, Nicola 35 2018 Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. Zbl 1396.49044De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 22 2018 On the two-state problem for general differential operators. Zbl 1403.35335De Philippis, Guido; Palmieri, Luca; Rindler, Filip 5 2018 Regularity of minimizers of shape optimization problems involving perimeter. Zbl 1381.49044De Philippis, Guido; Lamboley, Jimmy; Pierre, Michel; Velichkov, Bozhidar 3 2018 On the structure of measures constrained by linear PDES. Zbl 1448.35099De Philippis, Guido; Rindler, Filip 1 2018 On the singular part of measures constrained by linear PDEs and applications. Zbl 1406.35011De Philippis, Guido 1 2018 Spectral inequalities in quantitative form. Zbl 1373.49051Brasco, Lorenzo; De Philippis, Guido 25 2017 Characterization of generalized Young measures generated by symmetric gradients. Zbl 1372.49018De Philippis, Guido; Rindler, Filip 15 2017 On the approximation of SBV functions. Zbl 1366.26020de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo 10 2017 Existence of isoperimetric sets with densities “converging from below” on \({\mathbb {R}}^N\). Zbl 1371.49037De Philippis, Guido; Franzina, Giovanni; Pratelli, Aldo 10 2017 On a conjecture of Cheeger. Zbl 1485.53052De Philippis, Guido; Marchese, Andrea; Rindler, Filip 10 2017 Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050De Philippis, Guido; Figalli, Alessio 9 2017 Essential connectedness and the rigidity problem for Gaussian symmetrization. Zbl 1361.49012Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 4 2017 Dimensional estimates for singular sets in geometric variational problems with free boundaries. Zbl 1366.49057De Philippis, Guido; Maggi, Francesco 4 2017 On the structure of \({\mathcal A}\)-free measures and applications. Zbl 1352.49050De Philippis, Guido; Rindler, Filip 54 2016 From volume cone to metric cone in the nonsmooth setting. Zbl 1356.53049De Philippis, Guido; Gigli, Nicola 24 2016 \(BV\) estimates in optimal transportation and applications. Zbl 1333.49051De Philippis, Guido; Mészáros, Alpár Richárd; Santambrogio, Filippo; Velichkov, Bozhidar 23 2016 A direct approach to Plateau’s problem in any codimension. Zbl 1335.49067De Philippis, G.; De Rosa, A.; Ghiraldin, F. 19 2016 Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness. Zbl 1338.35288Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido; Ghiraldin, Francesco 13 2016 Lower semi-continuity for non-coercive polyconvex integrals in the limit case. Zbl 1344.49021Philippis, G. De; Marino, S. Di; Focardi, M. 1 2016 Faber-Krahn inequalities in sharp quantitative form. Zbl 1334.49149Brasco, Lorenzo; De Philippis, Guido; Velichkov, Bozhidar 43 2015 Partial regularity for optimal transport maps. Zbl 1325.49051De Philippis, Guido; Figalli, Alessio 20 2015 Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law. Zbl 1321.35158De Philippis, G.; Maggi, F. 17 2015 Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. Zbl 1326.35197Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 14 2015 Optimal regularity of the convex envelope. Zbl 1316.49019De Philippis, Guido; Figalli, Alessio 9 2015 A note on the dimension of the singular set in free interface problems. Zbl 1340.49044De Philippis, Guido; Figalli, Alessio 4 2015 The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770De Philippis, Guido; Figalli, Alessio 50 2014 Existence and regularity of minimizers for some spectral functionals with perimeter constraint. Zbl 1297.49077De Philippis, Guido; Velichkov, Bozhidar 24 2014 A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 17 2014 Sharp stability inequalities for the Plateau problem. Zbl 1293.49103De Philippis, G.; Maggi, F. 7 2014 Rigidity of equality cases in Steiner’s perimeter inequality. Zbl 1327.49069Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 6 2014 Higher integrability for minimizers of the Mumford-Shah functional. Zbl 1316.49044De Philippis, Guido; Figalli, Alessio 3 2014 A note on Petty’s theorem. Zbl 1314.52003Marini, Michele; De Philippis, Guido 2 2014 Partial regularity results in optimal transportation. Zbl 1323.49023de Philippis, G.; Figalli, A. 1 2014 \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation. Zbl 1286.35107De Philippis, Guido; Figalli, Alessio 36 2013 A note on interior \(W^{2,1+ \varepsilon }\) estimates for the Monge-Ampère equation. Zbl 1280.35153De Philippis, G.; Figalli, A.; Savin, O. 22 2013 Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps. Zbl 1278.35090De Philippis, Guido; Figalli, Alessio 13 2013 On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian. Zbl 1282.35163Charro, Fernando; De Philippis, Guido; Di Castro, Agnese; Máximo, Davi 7 2013 A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 6 2013 Sobolev regularity for Monge-Ampère type equations. Zbl 1271.49031De Philippis, Guido; Figalli, Alessio 5 2013 Regularity of optimal transport maps and applications. Zbl 1273.49002De Philippis, Guido 2 2013 Spectral optimization for the Stekloff-Laplacian: The stability issue. Zbl 1245.35076Brasco, Lorenzo; De Philippis, Guido; Ruffini, Berardo 23 2012 Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio 21 2012 Weak notions of Jacobian determinant and relaxation. Zbl 1242.49025De Philippis, Guido 6 2012 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 95 2011 Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd 3 2011 A short proof of the minimality of Simons cone. Zbl 1165.53305De Philippis, Guido; Paolini, Emanuele 9 2009 all cited Publications top 5 cited Publications all top 5 Cited by 701 Authors 26 De Philippis, Guido 24 Valdinoci, Enrico 21 Figalli, Alessio 14 Novaga, Matteo 14 Savin, Ovidiu V. 10 Fusco, Nicola 10 Gigli, Nicola 10 Santambrogio, Filippo 9 Bucur, Dorin 9 De Rosa, Antonio 9 Dipierro, Serena 9 Maggi, Francesco 9 Pratelli, Aldo 9 Velichkov, Bozhidar 8 Bruè, Elia 8 Honda, Shouhei 8 Le, Nam Q. 7 Fathi, Max 7 La Manna, Domenico Angelo 7 Rindler, Filip 6 Ambrosio, Luigi 6 Arroyo-Rabasa, Adolfo 6 Brasco, Lorenzo 6 Chen, Shibing 6 Crismale, Vito 6 De Cicco, Virginia 6 Goldman, Michael 6 Maldonado, Diego 6 Mazzoleni, Dario 6 Pasqualetto, Enrico 6 Ponsiglione, Marcello 6 Rossi, Julio Daniel 6 Ruffini, Berardo 6 Semola, Daniele 6 Tione, Riccardo 6 Wang, Xu-Jia 6 Xiang, Mingqi 5 Caffarelli, Luis Ángel 5 Cesaroni, Annalisa 5 Crasta, Graziano 5 De Luca, Lucia 5 Ghiraldin, Francesco 5 Ketterer, Christian 5 Lamboley, Jimmy 5 Paoli, Gloria 5 Pinamonti, Andrea 5 Zhang, Binlin 4 Antonelli, Gioacchino 4 Buttazzo, Giuseppe 4 Campbell, Daniel 4 Chambolle, Antonin 4 Cinti, Eleonora 4 Colombo, Maria 4 Cullen, Michael John Priestley 4 De Lellis, Camillo 4 Feldman, Mikhail 4 Ferrari, Fausto 4 Franceschi, Valentina 4 Kapovitch, Vitali 4 Kell, Martin 4 Massaccesi, Annalisa 4 McCann, Robert J. 4 Millot, Vincent 4 Nitsch, Carlo 4 Pagliari, Valerio 4 Pelloni, Beatrice 4 Saracco, Giorgio 4 Stefani, Giorgio 4 Tudorascu, Adrian 4 van den Berg, Michiel 4 Zhang, Xuemei 3 Abreu, Eduardo 3 Alvino, Angelo 3 Antunes, Pedro Ricardo Simão 3 Ayoush, Rami 3 Bogoşel, Beniamin 3 Brock, Friedemann 3 Bucur, Claudia 3 Buoso, Davide 3 Cagnetti, Filippo 3 Carlier, Guillaume 3 Caroccia, Marco 3 Carrillo de la Plata, José Antonio 3 Chiacchio, Francesco 3 Conti, Sergio 3 Cozzi, Matteo 3 David, Guy 3 Di Marino, Simone 3 Engelstein, Max 3 Feng, Meiqiang 3 Ferone, Vincenzo 3 Focardi, Matteo 3 Friedrich, Manuel 3 Guerra, André 3 Han, Bangxian 3 Harrison, Jenny C. 3 Hirsch, Jonas 3 Khan, Gabriel J. H. 3 Kim, Inwon Christina 3 Laux, Tim ...and 601 more Authors all top 5 Cited in 146 Serials 55 Calculus of Variations and Partial Differential Equations 33 Journal of Functional Analysis 27 Archive for Rational Mechanics and Analysis 26 SIAM Journal on Mathematical Analysis 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Mathematical Analysis and Applications 15 Advances in Calculus of Variations 13 The Journal of Geometric Analysis 12 Journal of Differential Equations 11 Advances in Mathematics 10 Discrete and Continuous Dynamical Systems 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal für die Reine und Angewandte Mathematik 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 8 Mathematics in Engineering 7 Communications in Mathematical Physics 7 Revista Matemática Iberoamericana 7 Geometric and Functional Analysis. GAFA 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Journal of the European Mathematical Society (JEMS) 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Communications in Partial Differential Equations 5 Communications in Contemporary Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications on Pure and Applied Analysis 4 Inventiones Mathematicae 4 Mathematische Annalen 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Potential Analysis 4 Advanced Nonlinear Studies 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Science China. Mathematics 4 Analysis and Geometry in Metric Spaces 4 Advances in Nonlinear Analysis 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Nonlinearity 3 Mathematics of Computation 3 Commentarii Mathematici Helvetici 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Quarterly of Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 NoDEA. Nonlinear Differential Equations and Applications 3 Interfaces and Free Boundaries 3 Complex Variables and Elliptic Equations 3 Analysis & PDE 3 Bollettino dell’Unione Matematica Italiana 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Numerische Mathematik 2 Pacific Journal of Mathematics 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Annals of Global Analysis and Geometry 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational Optimization and Applications 2 Geometry & Topology 2 Fractional Calculus & Applied Analysis 2 Revista Matemática Complutense 2 Milan Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Annals of PDE 2 Journal de l’École Polytechnique – Mathématiques 2 Séminaire Laurent Schwartz. EDP et Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Information Geometry 2 Pure and Applied Analysis 2 Annales Fennici Mathematici 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Geometry 1 Mathematika 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 46 more Serials all top 5 Cited in 43 Fields 306 Partial differential equations (35-XX) 272 Calculus of variations and optimal control; optimization (49-XX) 122 Differential geometry (53-XX) 73 Real functions (26-XX) 61 Measure and integration (28-XX) 52 Functional analysis (46-XX) 34 Numerical analysis (65-XX) 31 Probability theory and stochastic processes (60-XX) 30 Operator theory (47-XX) 29 Global analysis, analysis on manifolds (58-XX) 29 Mechanics of deformable solids (74-XX) 25 Fluid mechanics (76-XX) 19 Potential theory (31-XX) 13 Functions of a complex variable (30-XX) 13 Convex and discrete geometry (52-XX) 13 Geophysics (86-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Operations research, mathematical programming (90-XX) 10 Statistics (62-XX) 8 Geometry (51-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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