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

Project Information

StableIF

Grant agreement ID: 948029

DOI 10.3030/948029

EC signature date 12 August 2020

Start date 1 January 2021

End date 31 December 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 398 125,00

EU contribution € 1 398 125,00

Coordinated by

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (4)

The singular set in the Stefan problem

Author(s): Alessio Figalli, Xavier Ros-Oton, Joaquim Serra
Published in: Journal of the American Mathematical Society, 2023, ISSN 0894-0347
Publisher: American Mathematical Society

Interface regularity for semilinear one-phase problems

Author(s): Audrito, Alessandro; Serra, Joaquim
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108380

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

Author(s): Xabier Cabré, Eleonora Cinti, Joaquim Serra
Published in: American Journal of Mathematics, 2023, ISSN 0002-9327
Publisher: The Johns Hopkins University Press

Free boundary partial regularity in the thin obstacle problem,

Author(s): Federico Franceschini, Joaquim Serra,
Published in: Communications on Pure and Applied Mathematics, 2023, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.

Non-peer reviewed articles (7)

Yau's conjecture for nonlocal minimal surfaces

Author(s): Caselli, Michele; Florit-Simon, Enric; Serra, Joaquim
Published in: arXiv, Issue 3, 2023, ISSN 2331-8422
Publisher: Arxiv.org
DOI: 10.48550/arxiv.2306.07100

Fractional Sobolev spaces on Riemannian manifolds

Author(s): Michele Caselli, Enric Florit-Simon, Joaquim Serra
Published in: arXiv, 2024, ISSN 2331-8422
Publisher: ArXiv.org

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

Author(s): Franceschini, Federico
Published in: arXIv, Issue 4, 2023, ISSN 2331-8422
Publisher: 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

Author(s): Simon Eberle; Henrik Shahgholian; Georg S. Weiss
Published in: Crossref, Issue 2, 2021, ISSN 2331-8422
Publisher: Cornell University
DOI: 10.2139/ssrn.4296060

Regularity theory for nonlocal obstacle problems with critical and subcritical scaling

Author(s): Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
Published in: arXiv, Issue 8, 2023, ISSN 2331-8422
Publisher: ArXiv.org
DOI: 10.48550/arxiv.2306.16008

Elliptic regularization of some semilinear parabolic free boundary problems

Author(s): Alessandro Audrito; Tomás Sanz-Perela
Published in: arXiv, Issue 5, 2023, ISSN 2331-8422
Publisher: Arxiv.org
DOI: 10.4171/ifb/511

Nonlocal approximation of minimal surfaces: optimal estimates from stability

Author(s): Chan, Hardy; Dipierro, Serena; Serra, Joaquim; Valdinoci, Enrico
Published in: arXiv, Issue 7, 2023, ISSN 2331-8422
Publisher: ArXiv.org
DOI: 10.48550/arxiv.2308.06328