On the convergence of solutions of variational problems with bilateral obstacles in variable domains

DOI10.1134/S0081543817020146zbMath1369.49013MaRDI QIDQ2362425

Alexander A. Kovalevsky

Publication date: 7 July 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

minimizerintegral functional\(\Gamma\)-convergencestrong connectednessminimum valuebilateral obstacles

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems in abstract spaces (49K27)

Related Items (6)

On the convergence of solutions to bilateral problems with the zero lower constraint and an arbitrary upper constraint in variable domains ⋮ Variational problems with variable regular bilateral constraints in variable domains ⋮ CONVERGENCE OF SOLUTIONS OF BILATERAL PROBLEMS IN VARIABLE DOMAINS AND RELATED QUESTIONS ⋮ On the convergence of solutions of variational problems with implicit pointwise constraints in variable domains ⋮ On the convergence of solutions of variational problems with variable implicit pointwise constraints in variable domains ⋮ Convergence of solutions of variational problems with measurable bilateral constraints in variable domains

Cites Work

• On \(L^1\)-functions with a very singular behaviour
• On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
• Obstacle problems in variable domains
• Variational problems with pointwise constraints and degeneration in variable domains
• THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE SECOND BOUNDARY VALUE PROBLEM UNDER FRAGMENTATION OF THE BOUNDARY OF THE DOMAIN
• ON THE NUMBER OF TRIANGULATION SIMPLEXES
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