The Dirichlet problem for the fractional Laplacian: regularity up to the boundary X Ros-Oton, J Serra Journal de Mathématiques Pures et Appliquées 101 (2014), 275-302, 2012 | 848 | 2012 |
The Pohozaev identity for the fractional Laplacian X Ros-Oton, J Serra Archive for Rational Mechanics & Analysis 213 (2014), 587-628., 2012 | 343 | 2012 |
Nonlocal problems with Neumann boundary conditions S Dipierro, X Ros-Oton, E Valdinoci Revista Matematica Iberoamericana 33 (2017), 377-416., 2014 | 270 | 2014 |
Nonlocal elliptic equations in bounded domains: a survey X Ros-Oton Publicacions Matemàtiques 60 (2016), 3-26., 2015 | 263 | 2015 |
Regularity theory for general stable operators X Ros-Oton, J Serra Journal of Differential Equations, 260 (2016), 8675-8715., 2014 | 177 | 2014 |
The extremal solution for the fractional Laplacian X Ros-Oton, J Serra Calculus of Variations and Partial Differential Equations 50 (2014), 723-750., 2013 | 140 | 2013 |
Boundary regularity for fully nonlinear integro-differential equations X Ros-Oton, J Serra Duke Mathematical Journal 165 (2016), 2079-2154., 2014 | 135 | 2014 |
Sobolev and isoperimetric inequalities with monomial weights X Cabré, X Ros-Oton Journal of Differential Equations 255 (2013), 4312-4336, 2012 | 105 | 2012 |
Sharp isoperimetric inequalities via the ABP method X Cabre, X Ros-Oton, J Serra Journal of the European Mathematical Society 18 (2016), 2971-2998, 2013 | 96 | 2013 |
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries L Caffarelli, X Ros-Oton, J Serra Inventiones mathematicae 208 (2017), 1155-1211., 2016 | 93 | 2016 |
Regularity Theory for Elliptic PDE X Fernández-Real, X Ros-Oton Zurich Lectures in Advanced Mathematics. EMS books, 2022., 2022 | 84 | 2022 |
Stable solutions to semilinear elliptic equations are smooth up to dimension 9 X Cabre, A Figalli, X Ros-Oton, J Serra Acta Mathematica 224 (2020), 187-252., 2019 | 73 | 2019 |
Regularity theory for general stable operators: parabolic equations X Fernández-Real, X Ros-Oton Journal of Functional Analysis 272 (2017), 4165-4221., 2015 | 72 | 2015 |
Regularity of stable solutions up to dimension 7 in domains of double revolution X Cabré, X Ros-Oton Communications in Partial Differential Equations 38 (2013), 135-154, 2012 | 67 | 2012 |
Boundary regularity estimates for nonlocal elliptic equations in and domains X Ros-Oton, J Serra Annali di Matematica Pura ed Applicata, 196 (2017), 1637-1668., 2015 | 63 | 2015 |
Nonexistence results for nonlocal equations with critical and supercritical nonlinearities X Ros-Oton, J Serra Communications in Partial Differential Equations 40 (2015), 115-133, 2013 | 63 | 2013 |
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 | 58 | 2020 |
Boundary regularity for the fractional heat equation X Fernández-Real, X Ros-Oton Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie …, 2014 | 53 | 2014 |
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian B Barrios, A Figalli, X Ros-Oton American Journal of Mathematics 140 (2018), 415-447., 2015 | 51 | 2015 |
Local integration by parts and Pohozaev identities for higher order fractional Laplacians X Ros-Oton, J Serra Discrete and continuous dynamical systems. Series A 35 (2015), 2131-2150., 2014 | 51 | 2014 |