A derivation theorem for capacities with respect to a Radon measure

DOI10.1016/0022-1236(87)90004-8zbMath0622.28006OpenAlexW2014277083MaRDI QIDQ1090791

Umberto Mosco, Gianni Dal Maso, Giusseppe Buttazzo

Publication date: 1987

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

Full work available at URL: http://purl.umn.edu/4109

zbMATH Keywords

capacityRadon measureRadon-Nikodým derivativederivation theorems on ballslimit of a variational convergence of measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Methods involving semicontinuity and convergence; relaxation (49J45) Abstract differentiation theory, differentiation of set functions (28A15) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (12)

A capacity method for the study of Dirichlet problems for elliptic systems in varying domains ⋮ A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators ⋮ Some properties of a class of nonlinear variational \(\mu\)-capacities ⋮ Random relaxed Dirichlet problems ⋮ Harmonic measures of perforated domains ⋮ Limits of variational problems for Dirichlet forms in varying domains ⋮ Limits of relaxed Dirichlet problems involving a non symmetric Dirichlet form ⋮ Limits of nonlinear weighted Dirichlet problems in varying domains. ⋮ Approximation of relaxed Dirichlet problems by boundary value problems in perforated domains ⋮ Fractal relaxed Dirichlet problems ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Reinforcement problems in the calculus of variations
• Reinforcement problems for elliptic equations and variational inequalities
• Reinforcement problems in elasto-plasticity
• Stopping Times and Γ-Convergence
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