Weak semi-continuity of the duality product in Sobolev spaces

DOI10.1016/j.jfa.2006.03.014zbMath1109.46035OpenAlexW1991835648MaRDI QIDQ2497939

Dorin Bucur

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.03.014

zbMATH Keywords

\(\gamma\)-convergenceduality productobstacle convergence

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets
• Wiener's criterion and \(\Gamma\)-convergence
• An existence result for optimal obstacles
• A new relaxation space for obstacles
• Spectral synthesis in Sobolev spaces and uniqueness of solutions of the Dirichlet problem
• Variational methods in shape optimization problems
• Semi-strong convergence of sequences satisfying a variational inequality
• Change of variables for absolutely continuous functions
• Variations on a strange semi-continuity result
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Shape optimisation problems governed by nonlinear state equations
• Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains

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