Xavier Ros-Oton

Xavier Ros-Oton, Xavier Fernández-Real, Xavier Fernández-Real, 2015, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

Regularity theory for general stable operators

Xavier Ros-Oton, Joaquim Serra, Xavier Ros-Oton, 2014, 1412.3892.

The extremal solution for the fractional Laplacian

Xavier Ros-Oton, Joaquim Serra, Xavier Ros-Oton, 2013, 1305.2489.

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary

Xavier Ros-Oton, Joaquim Serra, Xavier Ros-Oton, 2012, 1207.5985.

Local integration by parts and Pohozaev identities for higher order fractional Laplacians

Xavier Ros-Oton, Joaquim Serra, Xavier Ros-Oton, 2014, 1406.1107.

The Pohozaev Identity for the Fractional Laplacian

Xavier Ros-Oton, Joaquim Serra, Xavier Ros-Oton, 2012, 1207.5986.

Boundary regularity for the fractional heat equation

Xavier Ros-Oton, Xavier Fernández-Real, Xavier Ros-Oton, 2014, 1412.0275.

The Neumann problem for the fractional Laplacian: regularity up to the boundary

Xavier Ros-Oton, A. Audrito, Juan-Carlos Felipe-Navarro, 2020, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.

The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains

E. Valdinoci, Xavier Ros-Oton, 2015, 1502.00782.

Boundary regularity for fully nonlinear integro-differential equations

Xavier Ros-Oton, J. Serra, 2014, 1404.1197.

Fractional Laplacian: Pohozaev identity and nonexistence results

Xavier Ros-Oton, J. Serra, 2012, 1205.0494.

Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains

A. Figalli, Xavier Ros-Oton, M. Bonforte, 2015, 1510.03758.

Generic regularity of free boundaries for the obstacle problem

A. Figalli, Xavier Ros-Oton, J. Serra, 2019, Publications mathématiques de l'IHÉS.

Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities

Xavier Ros-Oton, J. Serra, 2013, 1309.5407.

Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian

G. Weiss, Xavier Ros-Oton, Simon Eberle, 2020, 2006.12928.

The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form

Xavier Ros-Oton, J. Serra, 2018, Potential Analysis.

Higher-order boundary regularity estimates for nonlocal parabolic equations

Xavier Ros-Oton, H. Vivas, 2017, Calculus of Variations and Partial Differential Equations.

The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form

Xavier Ros-Oton, J. Serra, 2016, Potential Analysis.

Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$C1 and $$C^{1,\alpha }$$C1,α domains

Xavier Ros-Oton, J. Serra, 2015, 1512.07171.

Boundary regularity estimates for nonlocal elliptic equations in C 1 and C 1 ,α domains

Xavier Ros-Oton, J. Serra, 2015 .

Pohozaev identities for anisotropic integrodifferential operators

E. Valdinoci, Xavier Ros-Oton, J. Serra, 2015, 1502.01431.

New boundary Harnack inequalities with right hand side

Xavier Ros-Oton, Clara Torres-Latorre, 2020, Journal of Differential Equations.

Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian

Xavier Ros-Oton, N. Garofalo, 2017, Revista Matemática Iberoamericana.

Obstacle problems for nonlocal operators with singular kernels

Xavier Ros-Oton, M. Weidner, 2023, 2308.01695.

Regularity theory for nonlocal obstacle problems with critical and subcritical scaling

A. Figalli, Xavier Ros-Oton, J. Serra, 2023, 2306.16008.

Nonlocal Dirichlet problems with $C^{0,\alpha}$ exterior data

Xavier Ros-Oton, A. Audrito, 2019 .

Obstacle problems for integro-differential operators: Higher regularity of free boundaries

Xavier Ros-Oton, Nicola Abatangelo, 2019, Advances in Mathematics.

Obstacle problems and free boundaries: an overview

Xavier Ros-Oton, 2017, SeMA Journal.

The obstacle problem for the fractional Laplacian with critical drift

Xavier Ros-Oton, Xavier Fernández-Real, 2017, Mathematische Annalen.

Boundary regularity, Pohozaev identities, and nonexistence results

Xavier Ros-Oton, 2017, 1705.05525.

Obstacle problems for integro-differential operators: regularity of solutions and free boundaries

Xavier Ros-Oton, L. Caffarelli, J. Serra, 2016, Inventiones mathematicae.

The obstacle problem for the fractional Laplacian with critical drift

Xavier Ros-Oton, Xavier Fernández-Real, 2016, Mathematische Annalen.

Free Boundary Regularity in the Parabolic Fractional Obstacle Problem

A. Figalli, Xavier Ros-Oton, B. Barrios, 2016, 1605.00544.

The structure of the free boundary in the fully nonlinear thin obstacle problem

Xavier Ros-Oton, J. Serra, 2016, 1603.09292.

Obstacle problems for integro-differential operators: regularity of solutions and free boundaries

L. Caffarelli, Xavier Ros-Oton, J. Serra, 2016, 1601.05843.

Regularity theory for general stable operators: parabolic equations

Xavier Ros-Oton, Xavier Fern'andez-Real, Xavier Ros-Oton, 2015, 1511.06301.

Regularity of free boundaries in obstacle problems for integro-differential operators

Xavier Ros-Oton, Xavier Ros-Oton, 2017 .

The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data

Xavier Ros-Oton, A. Audrito, 2019, Proceedings of the American Mathematical Society.

Optimal regularity for the fully nonlinear thin obstacle problem

Xavier Ros-Oton, Maria Colombo, Xavier Fernández-Real, 2021, 2112.05458.

Optimal regularity for supercritical parabolic obstacle problems

Xavier Ros-Oton, Clara Torres-Latorre, 2021, 2108.12339.

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Ros-Oton, Xavier Fernández-Real, 2019, Archive for Rational Mechanics and Analysis.

On the regularity of the free boundary in the p-Laplacian obstacle problem ☆

A. Figalli, Xavier Ros-Oton, B. Krummel, 2017, 1701.05262.

Global regularity for the free boundary in the obstacle problem for the fractional Laplacian

A. Figalli, Xavier Ros-Oton, B. Barrios, 2015, 1506.04684.

The singular set in the Stefan problem

Xavier Ros-Oton, Alessio Figalli, Joaquim Serra, 2021, 2103.13379.

A P ] 2 7 A ug 2 02 1 OPTIMAL REGULARITY FOR SUPERCRITICAL PARABOLIC OBSTACLE PROBLEMS

Xavier Ros-Oton, D. Torres-Latorre, 2021 .

UNDERSTANDING SINGULARITIES IN FREE BOUNDARY PROBLEMS

Xavier Ros-Oton, J. Serra, 2019 .

Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution

Xavier Ros-Oton, X. Cabré, 2012, 1202.1220.

REGULARITY OF MINIMIZERS UP TO DIMENSION 7 IN DOMAINS OF DOUBLE REVOLUTION

Xavier Ros-Oton, X. Cabré, 2012 .

A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane ☆

E. Valdinoci, F. Hamel, Xavier Ros-Oton, 2015, 1507.01830.

Sobolev and isoperimetric inequalities with monomial weights

Xavier Ros-Oton, X. Cabré, 2012, 1210.4487.

Sharp quantitative stability for isoperimetric inequalities with homogeneous weights

A. Pratelli, Federico Glaudo, Xavier Ros-Oton, 2020, 2006.13867.

Semiconvexity estimates for nonlinear integro-differential equations

Xavier Ros-Oton, M. Weidner, Clara Torres-Latorre, 2023, 2306.16751.

Entire solutions to semilinear nonlocal equations in $R^2$

Xavier Ros-Oton, Y. Sire, 2015, 1505.06919.

Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels

Xavier Ros-Oton, Xavier Fernández-Real, 2023, 2308.11383.

Generic regularity of free boundaries for the obstacle problem

A. Figalli, Xavier Ros-Oton, J. Serra, 2020, Publications mathématiques de l'IHÉS.

Generic regularity of free boundaries for the obstacle problem.

A. Figalli, Xavier Ros-Oton, J. Serra, 2019, 1912.00714.

EXISTENCE OF PERIODIC SOLUTIONS WITH NONCONSTANT SIGN IN A CLASS OF GENERALIZED ABEL EQUATIONS

J. M. Olm, Xavier Ros-Oton, 2012 .

New boundary Harnack inequalities with right hand side

Xavier Ros-Oton, Clara Torres-Latorre, 2020, Journal of Differential Equations.

Optimal regularity and fine asymptotics for the porous medium equation in bounded domains

Xavier Ros-Oton, Tianling Jin, Jingang Xiong, 2024, Journal für die reine und angewandte Mathematik (Crelles Journal).

A P ] 8 J an 2 01 6 POHOZAEV IDENTITIES FOR ANISOTROPIC INTEGRO-DIFFERENTIAL OPERATORS

E. Valdinoci, Xavier Ros-Oton, J. Serra, 2016 .

Global Schauder theory for minimizers of the $H^s(\Omega)$ energy

Xavier Ros-Oton, Mouhamed Moustapha Fall, Xavier Ros-Oton, 2021, 2106.07593.

Euclidean balls solve some isoperimetric problems with nonradial weights

Xavier Ros-Oton, X. Cabré, J. Serra, 2012, 1210.1788.