The regularity problem for the Laplace equation in rough domains

DOI10.1215/00127094-2023-0044zbMATH Open1548.3102MaRDI QIDQ6566421

Xavier Tolsa, Mihalis Mourgoglou

Publication date: 3 July 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemLaplace equationregularity problemchord-arc domaincorkscrew domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Harmonic analysis and PDEs (42B37)

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Related Items (2)

Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains ⋮ Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to boundary value problems for elliptic systems with \(L^\infty\) coefficients

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