Stable interfaces: phase transitions, minimal surfaces, and free boundaries

Publicaciones

The singular set in the Stefan problem

Autores: Alessio Figalli, Xavier Ros-Oton, Joaquim Serra
Publicado en: Journal of the American Mathematical Society, 2023, ISSN 0894-0347
Editor: American Mathematical Society

Interface regularity for semilinear one-phase problems

Autores: Audrito, Alessandro; Serra, Joaquim
Publicado en: Advances in Mathematics, 403, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2022.108380

Stable solutions to the fractional Allen-Cahn equation inthe nonlocal perimeter regime

Autores: Xabier Cabré, Eleonora Cinti, Joaquim Serra
Publicado en: American Journal of Mathematics, 2023, ISSN 0002-9327
Editor: The Johns Hopkins University Press

Free boundary partial regularity in the thin obstacle problem,

Autores: Federico Franceschini, Joaquim Serra,
Publicado en: Communications on Pure and Applied Mathematics, 2023, ISSN 0010-3640
Editor: John Wiley & Sons Inc.

Yau's conjecture for nonlocal minimal surfaces

Autores: Caselli, Michele; Florit-Simon, Enric; Serra, Joaquim
Publicado en: arXiv, Edición 3, 2023, ISSN 2331-8422
Editor: Arxiv.org
DOI: 10.48550/arxiv.2306.07100

Fractional Sobolev spaces on Riemannian manifolds

Autores: Michele Caselli, Enric Florit-Simon, Joaquim Serra
Publicado en: arXiv, 2024, ISSN 2331-8422
Editor: ArXiv.org

Partial regularity for $BV^\mathcal{B}$ minimizers

Autores: Franceschini, Federico
Publicado en: arXIv, Edición 4, 2023, ISSN 2331-8422
Editor: Arxiv.org
DOI: 10.48550/arxiv.2310.20002

The Structure of the Regular Part of the Free Boundary Close to Singularities in the Obstacle Problem

Autores: Simon Eberle; Henrik Shahgholian; Georg S. Weiss
Publicado en: Crossref, Edición 2, 2021, ISSN 2331-8422
Editor: Cornell University
DOI: 10.2139/ssrn.4296060

Regularity theory for nonlocal obstacle problems with critical and subcritical scaling

Autores: Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
Publicado en: arXiv, Edición 8, 2023, ISSN 2331-8422
Editor: ArXiv.org
DOI: 10.48550/arxiv.2306.16008

Elliptic regularization of some semilinear parabolic free boundary problems

Autores: Alessandro Audrito; Tomás Sanz-Perela
Publicado en: arXiv, Edición 5, 2023, ISSN 2331-8422
Editor: Arxiv.org
DOI: 10.4171/ifb/511

Nonlocal approximation of minimal surfaces: optimal estimates from stability

Autores: Chan, Hardy; Dipierro, Serena; Serra, Joaquim; Valdinoci, Enrico
Publicado en: arXiv, Edición 7, 2023, ISSN 2331-8422
Editor: ArXiv.org
DOI: 10.48550/arxiv.2308.06328

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