| The Dirichlet problem for the fractional Laplacian: regularity up to the boundary X Ros-Oton, J Serra Journal de Mathématiques Pures et Appliquées 101 (3), 275-302, 2014 | 832 | 2014 |
| The Pohozaev identity for the fractional Laplacian X Ros-Oton, J Serra Archive for Rational Mechanics and Analysis 213, 587-628, 2014 | 337 | 2014 |
| Regularity theory for general stable operators X Ros-Oton, J Serra Journal of Differential Equations 260 (12), 8675-8715, 2016 | 172 | 2016 |
| The extremal solution for the fractional Laplacian X Ros-Oton, J Serra Calculus of variations and partial differential equations 50 (3), 723-750, 2014 | 138 | 2014 |
| Boundary regularity for fully nonlinear integro-differential equations X Ros-Oton, J Serra | 131 | 2016 |
| Sharp isoperimetric inequalities via the ABP method. X Cabré, X Ros-Oton, J Serra Journal of the European Mathematical Society (EMS Publishing) 18 (12), 2016 | 93 | 2016 |
| Obstacle problems for integro-differential operators: regularity of solutions and free boundaries L Caffarelli, X Ros-Oton, J Serra Inventiones mathematicae 208, 1155-1211, 2017 | 89 | 2017 |
| regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels J Serra Calculus of variations and partial differential equations 54, 3571-3601, 2015 | 83 | 2015 |
| Quantitative flatness results and -estimates for stable nonlocal minimal surfaces E Cinti, J Serra, E Valdinoci Journal of Differential Geometry 112 (3), 447-504, 2019 | 77 | 2019 |
| Stable solutions to semilinear elliptic equations are smooth up to dimension X Cabré, A Figalli, X Ros-Oton, J Serra Acta Mathematica 224 (2), 187-252, 2020 | 73 | 2020 |
| Regularity for fully nonlinear nonlocal parabolic equations with rough kernels J Serra Calculus of Variations and Partial Differential Equations 54, 615-629, 2015 | 72 | 2015 |
| On the fine structure of the free boundary for the classical obstacle problem A Figalli, J Serra Inventiones mathematicae 215 (1), 311-366, 2019 | 65 | 2019 |
| Nonexistence results for nonlocal equations with critical and supercritical nonlinearities X Ros-Oton, J Serra Communications in Partial Differential Equations 40 (1), 115-133, 2015 | 63 | 2015 |
| Boundary regularity estimates for nonlocal elliptic equations in and domains X Ros-Oton, J Serra Annali di Matematica Pura ed Applicata (1923-) 196 (5), 1637-1668, 2017 | 60 | 2017 |
| Generic regularity of free boundaries for the obstacle problem A Figalli, X Ros-Oton, J Serra Publications mathématiques de l'IHÉS 132 (1), 181-292, 2020 | 55 | 2020 |
| Local integration by parts and Pohozaev identities for higher order fractional Laplacians X Ros-Oton, J Serra arXiv preprint arXiv:1406.1107, 2014 | 51 | 2014 |
| On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4+ 1 A Figalli, J Serra Inventiones mathematicae 219 (1), 153-177, 2020 | 50 | 2020 |
| Fractional Laplacian: Pohozaev identity and nonexistence results X Ros-Oton, J Serra Comptes Rendus Mathématique 350 (9-10), 505-508, 2012 | 49 | 2012 |
| Improvement of flatness for nonlocal phase transitions S Dipierro, J Serra, E Valdinoci American Journal of Mathematics 142 (4), 1083-1160, 2020 | 46 | 2020 |
| Pohozaev identities for anisotropic integrodifferential operators X Ros-Oton, J Serra, E Valdinoci Communications in Partial Differential Equations 42 (8), 1290-1321, 2017 | 38 | 2017 |
Xavier Ros-OtonICREA Research Professor, Universitat de BarcelonaVerified email at ub.edu
