An existence result for optimal obstacles

DOI10.1006/jfan.1998.3363zbMath0920.49008OpenAlexW2046637464MaRDI QIDQ1283688

Paola Trebeschi, Dorin Bucur, Giusseppe Buttazzo

Publication date: 15 August 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1998.3363

zbMATH Keywords

energy functionals\(\gamma\) and \(w\gamma\) convergences in ordered spacescompactness and lower semicontinuityoptimal obstacles

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Generalized derivatives for the solution operator of the obstacle problem, Optimal obstacle control problem, Weak semi-continuity of the duality product in Sobolev spaces

Cites Work

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• On convergence of functionals with unilateral constraints
• Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets
• Limits of nonlinear Dirichlet problems in varying domains
• Gamma-limits of obstacles
• Sulla convergenza delle soluzioni di disequazioni variazionali
• An existence result for a class of shape optimization problems
• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei
• Weakly Differentiable Functions
• Supersolutions to Degenerate Elliptic Equations on Quasi open Sets
• G-Convergence for elliptic equations, variational inequalities and quasi-variational inequalities
• Shape optimisation problems governed by nonlinear state equations
• Variational Analysis