Supersolutions to Degenerate Elliptic Equations on Quasi open Sets

DOI10.1080/03605309208820847zbMath0781.31009OpenAlexW2073480142MaRDI QIDQ4008503

Jan Malý, Tero Kilpeläinen

Publication date: 27 September 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820847

zbMATH Keywords

Sobolev spacescompletenessdensitysupersolutionsfine potential theorynonlinear potential theoryfinely superharmonic functionanalogue of Bagby's theoremnonlinear version of Fuglede's concept

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Fine potential theory; fine properties of sets and functions (31C40) Connections of harmonic functions with differential equations in higher dimensions (31B35) Other generalizations (nonlinear potential theory, etc.) (31C45)

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Cites Work

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• Fine and quasi connectedness in nonlinear potential theory
• Asymptotic paths for subsolutions of quasilinear elliptic equations
• Generalized Dirichlet problem in nonlinear potential theory
• A-superharmonic functions and supersolutions of degenerate elliptic equations
• Asymptotic paths for subharmonic functions
• Quasi topologies and rational approximation
• Connectedness in fine topologies

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