Xavier Ros-Oton

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Joaquim SerraETH ZurichVerified email at math.ethz.ch
Alessio FigalliETH ZurichVerified email at math.ethz.ch
Xavier CabreICREA Research Professor at the UPC (Barcelona)Verified email at upc.edu
Josep M. OlmDept. of Mathematics - Universitat Politècnica de CatalunyaVerified email at upc.edu
Serena DipierroSISSA, Trieste (Italy)Verified email at sissa.it
Marvin WeidnerUniversitat de BarcelonaVerified email at ub.edu
Begoña Barrios BarreraAssociate Professor. University of La Laguna. Tenerife. SpainVerified email at ull.es
Clara Torres-LatorrePhD student, Universitat de BarcelonaVerified email at ub.edu
Luis Caffarelliuniversity of texas at austinVerified email at math.utexas.edu
Alessandro AudritoPolitecnico di TorinoVerified email at polito.it
yannick sireJohns Hopkins universityVerified email at math.jhu.edu
Matteo BonforteUniversidad Autónoma de MadridVerified email at uam.es
Nicola AbatangeloAlma Mater Studiorum Università di BolognaVerified email at unibo.it
Nicola GarofaloUniversity of PadovaVerified email at unipd.it
Federico GlaudoPhd student, ETH ZurichVerified email at math.ethz.ch
eleonora cintiUniversità di BolognaVerified email at unibo.it
Juan-Carlos Felipe-NavarroAssistant Profesor - Universidad Complutense de Madrid (Spain)Verified email at ucm.es
Mouhamed Moustapha FallAfrican Institute for Mathematical Sciences SenegalVerified email at aims-senegal.org
Hernán VivasCentro Marplatense de Investigaciones Matemáticas (CIC-UNMdP)Verified email at mdp.edu.ar
Jingang XiongBeijing Normal UniversityVerified email at bnu.edu.cn

Xavier Ros-Oton

ICREA Research Professor, Universitat de Barcelona

Verified email at ub.edu - Homepage

Partial Differential Equations


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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	890	2012
The Pohozaev identity for the fractional Laplacian X Ros-Oton, J Serra Archive for Rational Mechanics & Analysis 213 (2014), 587-628., 2012	349	2012
Nonlocal problems with Neumann boundary conditions S Dipierro, X Ros-Oton, E Valdinoci Revista Matematica Iberoamericana 33 (2017), 377-416., 2014	280	2014
Nonlocal elliptic equations in bounded domains: a survey X Ros-Oton Publicacions Matemàtiques 60 (2016), 3-26., 2015	273	2015
Regularity theory for general stable operators X Ros-Oton, J Serra Journal of Differential Equations, 260 (2016), 8675-8715., 2014	188	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	146	2013
Boundary regularity for fully nonlinear integro-differential equations X Ros-Oton, J Serra Duke Mathematical Journal 165 (2016), 2079-2154., 2014	141	2014
Sobolev and isoperimetric inequalities with monomial weights X Cabré, X Ros-Oton Journal of Differential Equations 255 (2013), 4312-4336, 2012	110	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	107	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	98	2016
Regularity Theory for Elliptic PDE X Fernández-Real, X Ros-Oton Zurich Lectures in Advanced Mathematics. EMS books, 2022., 2022	96	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	75	2019
Regularity theory for general stable operators: parabolic equations X Fernández-Real, X Ros-Oton Journal of Functional Analysis 272 (2017), 4165-4221., 2015	73	2015
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	70	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	70	2012
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	64	2020
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
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	56	2015
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	52	2014
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	52	2014

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