Some properties of a class of nonlinear variational \(\mu\)-capacities

DOI10.1016/0022-1236(88)90022-5zbMath0657.49006OpenAlexW2049447084MaRDI QIDQ1110798

Gianni Dal Maso, Anneliese Defranceschi

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90022-5

zbMATH Keywords

\(\mu\)-capacitynon-linear Dirichlet problemsopen sets with holes

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (4)

A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators ⋮ Limits of nonlinear Dirichlet problems in varying domains ⋮ Limits of nonlinear weighted Dirichlet problems in varying domains. ⋮ Unnamed Item

Cites Work

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• On the integral representation of certain local functionals
• A derivation theorem for capacities with respect to a Radon measure
• Wiener criteria and energy decay for relaxed Dirichlet problems
• Wiener's criterion and \(\Gamma\)-convergence
• Thin sets in nonlinear potential theory
• The quasi topology associated with a countably subadditive set function
• Lectures on potential theory. 2nd ed., revised and enlarged
• Stopping Times and Γ-Convergence

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