Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei

DOI10.1080/00036818108839369zbMath0479.49008OpenAlexW2044527399WikidataQ58254488 ScholiaQ58254488MaRDI QIDQ3938109

Hedy Attouch, Colette Picard

Publication date: 1981

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818108839369

zbMATH Keywords

quasi-continuous functionsobstacle problemconstraints of obstacle type

Mathematics Subject Classification ID

Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

On the semicontinuity and the relaxation for integrals with respect to the Lebesgue measure added to integrals with respect to a Radon measure ⋮ Characterization of the \(\Gamma\)-limits of unilateral obstacles ⋮ On Some Quasi-Variational Inequalities and Other Problems with Moving Sets ⋮ Stochastic control of symmetric markov processes and nonlinear variational inequalities ⋮ Convergence of unilateral convex sets in higher order Sobolev spaces ⋮ On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative ⋮ Anisotropic singular perturbations of variational inequalities ⋮ Directional differentiability for elliptic quasi-variational inequalities of obstacle type ⋮ On Parametric Evolution Inclusions of the Subdifferential Type with Applications to Optimal Control Problems ⋮ An existence result for optimal obstacles ⋮ Unnamed Item ⋮ On the \(\Gamma\)-convergence for multiple integrals depending on vector valued functions ⋮ Convergence of unilateral problems for monotone operators ⋮ Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets

Cites Work

• Unnamed Item
• Some properties of Gamma-limits of integral functionals
• On the existence of capacitary strong type estimates in \(R^n\)
• Topologies fines et compactifications associées à certains espaces de Dirichlet
• Theory of capacities
• Problèmes variationnels et théorie du potentiel non linéaire
• Imbedding theorems of Sobolev type in potential theory.

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