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-LatorreInstituto de Ciencias Matemáticas (ICMAT)Verified 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
Nicola AbatangeloAlma Mater Studiorum Università di BolognaVerified email at unibo.it
Matteo BonforteUniversidad Autónoma de MadridVerified email at uam.es
Nicola GarofaloArizona State UniversityVerified email at asu.edu
Federico GlaudoPostdoctoral Member, Institute for Advanced Study, PrincetonVerified email at ias.edu
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
Brian KrummelLecturer of Mathematics, University of MelbourneVerified email at unimelb.edu.au

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	917	2012
The Pohozaev identity for the fractional Laplacian X Ros-Oton, J Serra Archive for Rational Mechanics & Analysis 213 (2014), 587-628., 2012	355	2012
Nonlocal problems with Neumann boundary conditions S Dipierro, X Ros-Oton, E Valdinoci Revista Matematica Iberoamericana 33 (2017), 377-416., 2014	300	2014
Nonlocal elliptic equations in bounded domains: a survey X Ros-Oton Publicacions Matemàtiques 60 (2016), 3-26., 2015	284	2015
Regularity theory for general stable operators X Ros-Oton, J Serra Journal of Differential Equations, 260 (2016), 8675-8715., 2014	197	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	152	2013
Boundary regularity for fully nonlinear integro-differential equations X Ros-Oton, J Serra Duke Mathematical Journal 165 (2016), 2079-2154., 2014	148	2014
Regularity Theory for Elliptic PDE X Fernández-Real, X Ros-Oton Zurich Lectures in Advanced Mathematics. EMS books, 2022., 2022	118	2022
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	115	2013
Sobolev and isoperimetric inequalities with monomial weights X Cabré, X Ros-Oton Journal of Differential Equations 255 (2013), 4312-4336, 2012	113	2012
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	100	2016
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	81	2019
Regularity theory for general stable operators: parabolic equations X Fernández-Real, X Ros-Oton Journal of Functional Analysis 272 (2017), 4165-4221., 2015	76	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	75	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	73	2015
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	72	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	67	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
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	54	2014
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

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