A New Criterion of Dirichlet Regularity via the Quasi-Boundedness of the Fundamental Superharmonic Function

DOI10.1112/JLMS/S2-19.2.301zbMath0404.31003OpenAlexW1999050289MaRDI QIDQ4189483

Ülkü Kuran

Publication date: 1979

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-19.2.301

zbMATH Keywords

Dirichlet ProblemRegularityBarrier CriterionFundamental Superharmonic Function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (2)

A Kuran type regularity criterion for sub-Laplacians. A necessary and sufficient condition ⋮ An application of fine potential theory to prove a Phragmen-Lindelöf theorem

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