Local approximation of superharmonic and superparabolic functions in nonlinear potential theory

DOI10.1007/s11784-013-0108-5zbMath1280.35072arXiv1208.2828OpenAlexW2085963379WikidataQ110213801 ScholiaQ110213801MaRDI QIDQ360555

Juha Kinnunen, Mikko Parviainen, Teemu Lukkari

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2828

zbMATH Keywords

auxiliary obstacle problemsmeasure data problem

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Other generalizations (nonlinear potential theory, etc.) (31C45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (7)

Nonlinear potential theory of elliptic systems ⋮ Characterizations of interior polar sets for the degenerate \(p\)-parabolic equation ⋮ Regularity estimates for singular parabolic measure data problems with sharp growth ⋮ Riesz potentials and nonlinear parabolic equations ⋮ Irregular time dependent obstacles ⋮ Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces ⋮ Variational parabolic capacity

Cites Work

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• Degenerate problems with irregular obstacles
• Analytical foundations of the theory of quasiconformal mappings in R^n
• On the definition and properties of p-superharmonic functions.
• On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation

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