Xavier Ros-Oton

About Xavier Ros-Oton

Xavier Ros-Oton, With an exceptional h-index of 29 and a recent h-index of 23 (since 2020), a distinguished researcher at Universidad de Barcelona, specializes in the field of Partial Differential Equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

Optimal regularity for nonlocal elliptic equations and free boundary problems

The Square Root of the Laplacian

Improvement of flatness for nonlocal free boundary problems

Fully Nonlinear Equations

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

Linear Integro-differential Equations

The singular set in the Stefan problem

Integro-differential elliptic equations

Xavier Ros-Oton Information

University

Position

ICREA Research Professor

Citations(all)

3615

Citations(since 2020)

2431

Cited By

2311

hIndex(all)

29

hIndex(since 2020)

23

i10Index(all)

45

i10Index(since 2020)

43

Email

University Profile Page

Google Scholar

Xavier Ros-Oton Skills & Research Interests

Partial Differential Equations

Top articles of Xavier Ros-Oton

Title

Journal

Author(s)

Publication Date

Optimal regularity for nonlocal elliptic equations and free boundary problems

arXiv preprint arXiv:2403.07793

Xavier Ros-Oton

Marvin Weidner

2024/3/12

The Square Root of the Laplacian

Xavier Fernández-Real

Xavier Ros-Oton

2024/1/24

Improvement of flatness for nonlocal free boundary problems

arXiv preprint arXiv:2404.15975

Xavier Ros-Oton

Marvin Weidner

2024/4/24

Fully Nonlinear Equations

Elliptic Partial Differential Equations of Second Order

David Gilbarg

Neil S Trudinger

David Gilbarg

Neil S Trudinger

2001

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

Journal für die reine und angewandte Mathematik (Crelles Journal)

Tianling Jin

Xavier Ros-Oton

Jingang Xiong

2024/4/1

Linear Integro-differential Equations

Xavier Fernández-Real

Xavier Ros-Oton

2024/1/24

The singular set in the Stefan problem

Journal of the American Mathematical Society

Alessio Figalli

Xavier Ros-Oton

Joaquim Serra

2024/4

Integro-differential elliptic equations

Xavier Fernández-Real

2024

Regularity for nonlocal equations with local Neumann boundary conditions

arXiv preprint arXiv:2403.17723

Xavier Ros-Oton

Marvin Weidner

2024/3/26

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

arXiv preprint arXiv:2308.11383

Xavier Fernández-Real

Xavier Ros-Oton

2023/8/22

Obstacle problems for nonlocal operators with singular kernels

arXiv preprint arXiv:2308.01695

Xavier Ros-Oton

Marvin Weidner

2023/8/3

Semiconvexity estimates for nonlinear integro-differential equations

arXiv preprint arXiv:2306.16751

Xavier Ros-Oton

Clara Torres-Latorre

Marvin Weidner

2023/6/29

Regularity theory for nonlocal obstacle problems with critical and subcritical scaling

arXiv preprint arXiv:2306.16008

Alessio Figalli

Xavier Ros-Oton

Joaquim Serra

2023/6/28

Optimal regularity for supercritical parabolic obstacle problems

Comm. Pure Appl. Math., to appear

Xavier Ros-Oton

Clara Torres-Latorre

2023

Non-symmetric stable operators: regularity theory and integration by parts

Advances in Mathematics

Serena Dipierro

Xavier Ros-Oton

Joaquim Serra

Enrico Valdinoci

2022/6/4

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

arXiv preprint arXiv:2006.10026

Alessandro Audrito

Juan-Carlos Felipe-Navarro

Xavier Ros-Oton

2020/6/17

Regularity Theory for Elliptic PDE

Zurich Lectures in Advanced Mathematics. EMS books, 2022.

Xavier Fernández-Real

Xavier Ros-Oton

2022

Global Schauder theory for minimizers of the Hs (Ω) energy

Journal of Functional Analysis

Mouhamed Moustapha Fall

Xavier Ros-Oton

2022/8/1

New boundary Harnack inequalities with right hand side

J. Differential Equations, to appear.

Xavier Ros-Oton

Clara Torres-Latorre

2021

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

Nonlinear Analysis

Simon Eberle

Xavier Ros-Oton

Georg S Weiss

2021/10/1

See List of Professors in Xavier Ros-Oton University(Universidad de Barcelona)

Co-Authors

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