Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets

DOI10.1016/0022-1236(85)90001-1zbMath0582.49008OpenAlexW2038385028MaRDI QIDQ1068352

Gianni Dal Maso

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90001-1

zbMATH Keywords

obstacle problemscapacityconvergence of convex setsconvergence of minima

Mathematics Subject Classification ID

Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Potentials and capacities on other spaces (31C15)

Related Items (18)

On a class of nonlinear obstacle problems with measure data ⋮ Characterization of the \(\Gamma\)-limits of unilateral obstacles ⋮ On Some Quasi-Variational Inequalities and Other Problems with Moving Sets ⋮ Convergence of unilateral convex sets in higher order Sobolev spaces ⋮ Domain perturbations and estimates for the solutions of second order elliptic equations. ⋮ Anisotropic singular perturbations of variational inequalities ⋮ Unilateral problems with measure data. ⋮ Characterization of the shape stability for nonlinear elliptic problems ⋮ Weak semi-continuity of the duality product in Sobolev spaces ⋮ An existence result for a class of shape optimization problems ⋮ An existence result for optimal obstacles ⋮ Characterization for the Kuratowski limits of a sequence of Sobolev spaces ⋮ Unnamed Item ⋮ On a Fractional Version of a Murat Compactness Result and Applications ⋮ Existence and uniqueness of solutions for nonlinear obstacle problems with measure data ⋮ Stability results for obstacle problems with measure data ⋮ Convergence of unilateral problems for monotone operators ⋮ Unnamed Item

Cites Work

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• Capacity theory in Banach spaces
• Convergence of convex sets and of solutions of variational inequalities
• Problèmes variationnels et théorie du potentiel non linéaire
• Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei

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