On the boundary behaviour of the Perron generalized solution

DOI10.1007/BF01456505zbMath0461.31003WikidataQ116551453 ScholiaQ116551453MaRDI QIDQ1152498

Jan Malý, Jaroslav Lukeš

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163562

zbMATH Keywords

irregular pointsboundary behaviourPerron generalized solution

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (7)

Semiregular and strongly irregular boundary points for \(p\)-harmonic functions on unbounded sets in metric spaces ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ Mean values of subtemperatures over level surfaces of Green functions ⋮ A regularity classification of boundary points for \(p\)-harmonic functions and quasiminimizers ⋮ Convergence of balayage measures ⋮ Unnamed Item ⋮ Limits of balayage measures.

Cites Work

• Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen
• Simplicial cones in potential theory
• Applications of Choquet simplexes to elliptic and parabolic boundary value problems
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