A maximum principle and results on potentials

DOI10.1016/0022-247X(85)90041-1zbMath0582.31005MaRDI QIDQ1068988

Stephen J. Gardiner

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principlesubharmonicpotentialsminimal Martin boundaryGreen domainMartin representationgreatest harmonic minorant

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35)

Related Items

First passage time problems in time-dependent fields., Subharmonic functions in strips

Cites Work

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• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Quasi-bounded functions and a result on potentials
• Estimates of harmonic measure
• Integrals of Subharmonic Functions over Affine Sets
• A Strong Type of Regularity for the PWB Solution of the Dirichlet Problem
• On Subharmonicity of Non-Negative Functions
• On the Boundary Values of Harmonic Functions
• The Martin Boundary of R^N ×0,1[]
• On Least Harmonic Majorants in Half-Spaces
• Positive Harmonic Majorization of Subharmonic Functions in Strips