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 Homepage: http://people.sissa.it/~gdephili/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Awards: EMS Prize (2016) Documents Indexed: 61 Publications since 2009, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 45 Co-Authors with 59 Joint Publications 756 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 3 Crasta, Graziano 3 De Cicco, Virginia 3 Hirsch, Jonas 3 Marini, Michele 3 Pratelli, Aldo 2 Arroyo-Rabasa, Adolfo 2 Cagnetti, Filippo 2 De Lellis, Camillo 2 Focardi, Matteo 2 Franzina, Giovanni 2 Gigli, Nicola 2 Kirchheim, Bernd 1 Charro, Fernando 1 di Castro, Agnese 1 Fusco, Nicola 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 Palmieri, Luca 1 Paolini, Emanuele 1 Pierre, Michel 1 Ros-Oton, Xavier 1 Ruffini, Berardo 1 Santambrogio, Filippo 1 Savin, Ovidiu V. 1 Schoen, Richard Melvin 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 Communications in Partial Differential Equations 2 Inventiones Mathematicae 2 Manuscripta Mathematica 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 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 Differential Geometry 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 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 Oberwolfach Reports 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 44 Calculus of variations and optimal control; optimization (49-XX) 32 Partial differential equations (35-XX) 12 Differential geometry (53-XX) 11 Measure and integration (28-XX) 6 Real functions (26-XX) 5 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-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 56 Publications have been cited 669 times in 504 Documents Cited by ▼ Year ▼ Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 88 2011 The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770De Philippis, Guido; Figalli, Alessio 47 2014 On the structure of \({\mathcal A}\)-free measures and applications. Zbl 1352.49050De Philippis, Guido; Rindler, Filip 42 2016 Faber-Krahn inequalities in sharp quantitative form. Zbl 1334.49149Brasco, Lorenzo; De Philippis, Guido; Velichkov, Bozhidar 35 2015 \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation. Zbl 1286.35107De Philippis, Guido; Figalli, Alessio 33 2013 Existence and regularity of minimizers for some spectral functionals with perimeter constraint. Zbl 1297.49077De Philippis, Guido; Velichkov, Bozhidar 23 2014 Non-collapsed spaces with Ricci curvature bounded from below. (Espaces “non-collapsed” avec courbure de Ricci minorée.) Zbl 1409.53038De Philippis, Guido; Gigli, Nicola 23 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 From volume cone to metric cone in the nonsmooth setting. Zbl 1356.53049De Philippis, Guido; Gigli, Nicola 21 2016 Spectral inequalities in quantitative form. Zbl 1373.49051Brasco, Lorenzo; De Philippis, Guido 20 2017 Spectral optimization for the Stekloff-Laplacian: The stability issue. Zbl 1245.35076Brasco, Lorenzo; De Philippis, Guido; Ruffini, Berardo 18 2012 \(BV\) estimates in optimal transportation and applications. Zbl 1333.49051De Philippis, Guido; Mészáros, Alpár Richárd; Santambrogio, Filippo; Velichkov, Bozhidar 18 2016 Partial regularity for optimal transport maps. Zbl 1325.49051De Philippis, Guido; Figalli, Alessio 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 16 2014 Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law. Zbl 1321.35158De Philippis, G.; Maggi, F. 15 2015 Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. Zbl 1396.49044De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 15 2018 Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. Zbl 1326.35197Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 12 2015 A direct approach to Plateau’s problem in any codimension. Zbl 1335.49067De Philippis, G.; De Rosa, A.; Ghiraldin, F. 12 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 12 2016 Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps. Zbl 1278.35090De Philippis, Guido; Figalli, Alessio 11 2013 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip 11 2019 Characterization of generalized Young measures generated by symmetric gradients. Zbl 1372.49018De Philippis, Guido; Rindler, Filip 11 2017 On the approximation of SBV functions. Zbl 1366.26020de Philippis, Guido; Fusco, Nicola; Pratelli, Aldo 10 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 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 Existence of isoperimetric sets with densities “converging from below” on \({\mathbb {R}}^N\). Zbl 1371.49037De Philippis, Guido; Franzina, Giovanni; Pratelli, Aldo 7 2017 Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050De Philippis, Guido; Figalli, Alessio 7 2017 A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 6 2013 Rigidity of equality cases in Steiner’s perimeter inequality. Zbl 1327.49069Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 6 2014 Sobolev regularity for Monge-Ampère type equations. Zbl 1271.49031De Philippis, Guido; Figalli, Alessio 5 2013 Weak notions of Jacobian determinant and relaxation. Zbl 1242.49025De Philippis, Guido 4 2012 A note on the dimension of the singular set in free interface problems. Zbl 1340.49044De Philippis, Guido; Figalli, Alessio 4 2015 On the two-state problem for general differential operators. Zbl 1403.35335De Philippis, Guido; Palmieri, Luca; Rindler, Filip 4 2018 Existence results for minimizers of parametric elliptic functionals. Zbl 1436.49055De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 4 2020 The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018De Philippis, G.; Pratelli, A. 4 2020 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 4 2020 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 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 3 2019 Essential connectedness and the rigidity problem for Gaussian symmetrization. Zbl 1361.49012Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 3 2017 Regularity of optimal transport maps and applications. Zbl 1273.49002De Philippis, Guido 2 2013 Dimensional estimates for singular sets in geometric variational problems with free boundaries. Zbl 1366.49057De Philippis, Guido; Maggi, Francesco 2 2017 Implicit time discretization for the mean curvature flow of mean convex sets. Zbl 1471.53073De Philippis, Guido; Laux, Tim 2 2020 Regularity of the free boundary for the two-phase Bernoulli problem. Zbl 1473.35664De Philippis, Guido; Spolaor, Luca; Velichkov, Bozhidar 2 2021 A note on Petty’s theorem. Zbl 1314.52003Marini, Michele; De Philippis, Guido 1 2014 Boundary regularity of mass-minimizing integral currents and a question of Almgren. Zbl 1417.53068De Lellis, Camillo; De Philippis, Guido; Hirsch, Jonas; Massaccesi, Annalisa 1 2019 On the singular part of measures constrained by linear PDEs and applications. Zbl 1406.35011De Philippis, Guido 1 2018 Regularity of minimizers of shape optimization problems involving perimeter. Zbl 1381.49044De Philippis, Guido; Lamboley, Jimmy; Pierre, Michel; Velichkov, Bozhidar 1 2018 On the structure of measures constrained by linear PDES. Zbl 1448.35099De Philippis, Guido; Rindler, Filip 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 The sharp quantitative isocapacitary inequality. Zbl 1479.31004De Philippis, Guido; Marini, Michele; Mukoseeva, Ekaterina 1 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 1 2021 Regularity of the free boundary for the two-phase Bernoulli problem. Zbl 1473.35664De Philippis, Guido; Spolaor, Luca; Velichkov, Bozhidar 2 2021 The sharp quantitative isocapacitary inequality. Zbl 1479.31004De Philippis, Guido; Marini, Michele; Mukoseeva, Ekaterina 1 2021 Positive solutions to the sublinear Lane-Emden equation are isolated. Zbl 1482.35150Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni 1 2021 Existence results for minimizers of parametric elliptic functionals. Zbl 1436.49055De Philippis, Guido; De Rosa, Antonio; Ghiraldin, Francesco 4 2020 The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018De Philippis, G.; Pratelli, A. 4 2020 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Zbl 1445.49006Arroyo-Rabasa, Adolfo; De Philippis, Guido; Rindler, Filip 4 2020 Implicit time discretization for the mean curvature flow of mean convex sets. Zbl 1471.53073De Philippis, Guido; Laux, Tim 2 2020 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Zbl 1420.49046Arroyo-Rabasa, Adolfo; De Philippis, Guido; Hirsch, Jonas; Rindler, Filip 11 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 3 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 1 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 23 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 15 2018 On the two-state problem for general differential operators. Zbl 1403.35335De Philippis, Guido; Palmieri, Luca; Rindler, Filip 4 2018 On the singular part of measures constrained by linear PDEs and applications. Zbl 1406.35011De Philippis, Guido 1 2018 Regularity of minimizers of shape optimization problems involving perimeter. Zbl 1381.49044De Philippis, Guido; Lamboley, Jimmy; Pierre, Michel; Velichkov, Bozhidar 1 2018 On the structure of measures constrained by linear PDES. Zbl 1448.35099De Philippis, Guido; Rindler, Filip 1 2018 Spectral inequalities in quantitative form. Zbl 1373.49051Brasco, Lorenzo; De Philippis, Guido 20 2017 Characterization of generalized Young measures generated by symmetric gradients. Zbl 1372.49018De Philippis, Guido; Rindler, Filip 11 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 7 2017 Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050De Philippis, Guido; Figalli, Alessio 7 2017 Essential connectedness and the rigidity problem for Gaussian symmetrization. Zbl 1361.49012Cagnetti, Filippo; Colombo, Maria; De Philippis, Guido; Maggi, Francesco 3 2017 Dimensional estimates for singular sets in geometric variational problems with free boundaries. Zbl 1366.49057De Philippis, Guido; Maggi, Francesco 2 2017 On the structure of \({\mathcal A}\)-free measures and applications. Zbl 1352.49050De Philippis, Guido; Rindler, Filip 42 2016 From volume cone to metric cone in the nonsmooth setting. Zbl 1356.53049De Philippis, Guido; Gigli, Nicola 21 2016 \(BV\) estimates in optimal transportation and applications. Zbl 1333.49051De Philippis, Guido; Mészáros, Alpár Richárd; Santambrogio, Filippo; Velichkov, Bozhidar 18 2016 A direct approach to Plateau’s problem in any codimension. Zbl 1335.49067De Philippis, G.; De Rosa, A.; Ghiraldin, F. 12 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 12 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 35 2015 Partial regularity for optimal transport maps. Zbl 1325.49051De Philippis, Guido; Figalli, Alessio 17 2015 Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law. Zbl 1321.35158De Philippis, G.; Maggi, F. 15 2015 Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. Zbl 1326.35197Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido 12 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 47 2014 Existence and regularity of minimizers for some spectral functionals with perimeter constraint. Zbl 1297.49077De Philippis, Guido; Velichkov, Bozhidar 23 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 16 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 1 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 33 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 11 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 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 Spectral optimization for the Stekloff-Laplacian: The stability issue. Zbl 1245.35076Brasco, Lorenzo; De Philippis, Guido; Ruffini, Berardo 18 2012 Weak notions of Jacobian determinant and relaxation. Zbl 1242.49025De Philippis, Guido 4 2012 Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca 88 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 595 Authors 25 De Philippis, Guido 24 Valdinoci, Enrico 21 Figalli, Alessio 12 Savin, Ovidiu V. 11 Novaga, Matteo 9 Dipierro, Serena 9 Fusco, Nicola 9 Santambrogio, Filippo 9 Velichkov, Bozhidar 8 Bucur, Dorin 8 Gigli, Nicola 8 Maggi, Francesco 7 Bruè, Elia 7 De Rosa, Antonio 7 Le, Nam Q. 7 Pratelli, Aldo 7 Rindler, Filip 6 Ambrosio, Luigi 6 Arroyo-Rabasa, Adolfo 6 Brasco, Lorenzo 6 Chen, Shibing 6 De Cicco, Virginia 6 Honda, Shouhei 6 Maldonado, Diego 6 Mazzoleni, Dario 6 Pasqualetto, Enrico 6 Rossi, Julio Daniel 6 Semola, Daniele 6 Wang, Xu-Jia 6 Xiang, Mingqi 5 Caffarelli, Luis Ángel 5 Cesaroni, Annalisa 5 Crasta, Graziano 5 Crismale, Vito 5 Fathi, Max 5 Ghiraldin, Francesco 5 Goldman, Michael 5 La Manna, Domenico Angelo 5 Pinamonti, Andrea 5 Ruffini, Berardo 4 Buttazzo, Giuseppe 4 De Lellis, Camillo 4 Feldman, Mikhail 4 Ketterer, Christian 4 Lamboley, Jimmy 4 Millot, Vincent 4 Nitsch, Carlo 4 Pagliari, Valerio 4 Ponsiglione, Marcello 4 Saracco, Giorgio 4 Tione, Riccardo 4 Tudorascu, Adrian 4 van den Berg, Michiel 4 Zhang, Binlin 3 Abreu, Eduardo 3 Alvino, Angelo 3 Antonelli, Gioacchino 3 Antunes, Pedro Ricardo Simão 3 Bogoşel, Beniamin 3 Brock, Friedemann 3 Bucur, Claudia 3 Buoso, Davide 3 Cagnetti, Filippo 3 Campbell, Daniel 3 Carlier, Guillaume 3 Caroccia, Marco 3 Chambolle, Antonin 3 Chiacchio, Francesco 3 Cinti, Eleonora 3 Colombo, Maria 3 Conti, Sergio 3 Cozzi, Matteo 3 Cullen, Michael John Priestley 3 De Luca, Lucia 3 Ferone, Vincenzo 3 Focardi, Matteo 3 Han, Bangxian 3 Harrison, Jenny C. 3 Hirsch, Jonas 3 Kell, Martin 3 Kim, Inwon Christina 3 Laux, Tim 3 Liu, Jiakun 3 Lombardini, Luca 3 Marchese, Andrea 3 Massaccesi, Annalisa 3 McCann, Robert J. 3 Mercaldo, Anna 3 Nguyen, Truyen Van 3 Nochetto, Ricardo Horacio 3 Otto, Felix 3 Parini, Enea 3 Pelloni, Beatrice 3 Posteraro, Maria Rosaria 3 Pugh, Harrison 3 Serre, Denis 3 Squassina, Marco 3 Tang, Lan 3 Tewodrose, David 3 Trombetti, Cristina ...and 495 more Authors all top 5 Cited in 125 Serials 50 Calculus of Variations and Partial Differential Equations 26 Journal of Functional Analysis 25 SIAM Journal on Mathematical Analysis 22 Archive for Rational Mechanics and Analysis 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Mathematical Analysis and Applications 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Journal of Differential Equations 10 The Journal of Geometric Analysis 10 Advances in Calculus of Variations 9 Advances in Mathematics 9 Discrete and Continuous Dynamical Systems 8 Transactions of the American Mathematical Society 7 Communications in Mathematical Physics 7 Proceedings of the American Mathematical Society 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal für die Reine und Angewandte Mathematik 6 Geometric and Functional Analysis. GAFA 6 Journal of the European Mathematical Society (JEMS) 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Revista Matemática Iberoamericana 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Communications in Partial Differential Equations 5 Communications on Pure and Applied Analysis 4 Potential Analysis 4 Communications in Contemporary Mathematics 4 Advanced Nonlinear Studies 4 Science China. Mathematics 4 Advances in Nonlinear Analysis 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Nonlinearity 3 Mathematics of Computation 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Quarterly of Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Interfaces and Free Boundaries 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Analysis and Geometry in Metric Spaces 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 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 NoDEA. Nonlinear Differential Equations and Applications 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 Complex Variables and Elliptic Equations 2 Analysis & PDE 2 Annals of PDE 2 Séminaire Laurent Schwartz. EDP et Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Bollettino dell’Unione Matematica Italiana 2 Mathematics in Engineering 2 Annales Fennici Mathematici 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 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 Colloquium Mathematicum 1 Journal of Differential Geometry 1 Mathematika 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ricerche di Matematica 1 Statistics & Probability Letters 1 Physica D 1 Publicacions Matemàtiques 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal ...and 25 more Serials all top 5 Cited in 41 Fields 265 Partial differential equations (35-XX) 232 Calculus of variations and optimal control; optimization (49-XX) 90 Differential geometry (53-XX) 65 Real functions (26-XX) 49 Measure and integration (28-XX) 45 Functional analysis (46-XX) 28 Numerical analysis (65-XX) 26 Operator theory (47-XX) 25 Probability theory and stochastic processes (60-XX) 23 Mechanics of deformable solids (74-XX) 22 Fluid mechanics (76-XX) 21 Global analysis, analysis on manifolds (58-XX) 15 Potential theory (31-XX) 11 Geophysics (86-XX) 10 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Convex and discrete geometry (52-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Statistics (62-XX) 8 Operations research, mathematical programming (90-XX) 7 Geometry (51-XX) 6 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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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