Geometric Analysis and Potential Theory

Project Information

GAPT

Grant agreement ID: 101018680

DOI

10.3030/101018680

EC signature date 5 May 2021

Start date 1 June 2021

End date 31 May 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 476 000,00

EU contribution

€ 1 476 000,00

Coordinated by

UNIVERSITAT AUTONOMA DE BARCELONA
Spain

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 (6)

The Dimension of Harmonic Measure on Some AD-Regular Flat Sets of Fractional Dimension

Author(s): Xavier Tolsa
Published in: International Mathematics Research Notices. IMRN, 2023, Page(s) Published electronically, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad184

Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant

Author(s): Gallegos, Josep M.
Published in: Calculus of Variations and Partial Differential Equations, 2023, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-022-02426-x

The two-phase problem for harmonic measure in VMO and the chord-arc condition

Author(s): Tolsa, Xavier; Toro, Tatiana
Published in: Trans. Amer. Math. Soc., 2024, Page(s) Accepted for publication, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.48550/arxiv.2209.14346

The $A_\infty$ condition, $\varepsilon$-approximators, and Varopoulos extensions in uniform domains

Author(s): Bortz, Simon; Poggi, Bruno; Tapiola, Olli; Tolsa, Xavier
Published in: The Journal of Geometric Analysis, Issue 1, 2024, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-024-01666-x

The regularity problem for the Laplace equation in rough domains

Author(s): Mourgoglou, Mihalis; Tolsa, Xavier
Published in: Duke Mathematical Journal, 2023, Page(s) Accepted for publication, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.48550/arxiv.2110.02205

L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type

Author(s): Alejandro Molero; Mihalis Mourgoglou; Carmelo Puliatti; Xavier Tolsa
Published in: Archive for Rational Mechanics and Analysis, 2023, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-023-01852-1

Non-peer reviewed articles (1)

Connectivity conditions and boundary Poincaré inequalities

Author(s): Tapiola, Olli; Tolsa, Xavier
Published in: Analysis & PDE, 2023, Page(s) Accepted for publication, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.48550/arxiv.2205.11667