The regularity problem for the Laplace equation in rough domains-Reference-Cited by-同舟云学术

The regularity problem for the Laplace equation in rough domains

Published:2024-06-15 Issue:9 Volume:173 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Mourgoglou Mihalis¹,Tolsa Xavier²

Affiliation:

1. Departamento de Matemáticas, Universidad del País Vasco (UPV/EHU), Leioa, Spain, and Ikerbasque, Basque Foundation for Science, Bilbao, Spain

2. Institució Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Catalonia, and Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Catalonia, and Centre de Recerca Matemàtica, Barcelona, Catalonia

Publisher

Duke University Press

Reference56 articles.

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2. J. AZZAM, Poincaré inequalities and uniform rectifiability, Rev. Mat. Iberoam. 37 (2021), no. 6, 2161–2190.

3. J. AZZAM, J. GARNETT, M. MOURGOGLOU, and X. TOLSA, Uniform Rectifiability, Elliptic Measure, Square Functions, and ϵ-Approximability Via an ACF Monotonicity Formula, Int. Math. Res. Not. IMRN 2023, no. 13, 10837–10941.

4. J. AZZAM, S. HOFMANN, J.M. MARTELL, S. MAYBORODA, M. MOURGOGLOU, X. TOLSA, and A. VOLBERG, Rectifiability of harmonic measure. Geom. Funct. Anal. 26 (2016), no. 3, 703–728.

5. J. AZZAM, S. HOFMANN, J.M. MARTELL, M. MOURGOGLOU, and X. TOLSA, Harmonic measure and quantitative connectivity: geometric characterization of the $L^{p}$ -solvability of the Dirichlet problem, Invent. Math, 222 (2020), 881–993.