Convergence of solutions of variational problems with measurable bilateral constraints in variable domains

DOI10.1007/s10231-021-01140-3zbMath1485.49017OpenAlexW3187144002MaRDI QIDQ2118044

Alexander A. Kovalevsky

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01140-3

zbMATH Keywords

variational problemvariable domainsminimizerintegral functionalbilateral constraintsminimum value\({\Gamma}\)-convergence

Mathematics Subject Classification ID

Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Nonlinear variational inequalities with variable regular bilateral constraints in variable domains ⋮ Convergence of solutions of nonlinear elliptic variational inequalities with measurable bilateral constraints

Cites Work

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• On the convergence of solutions to bilateral problems with the zero lower constraint and an arbitrary upper constraint in variable domains
• Gamma-limits of obstacles
• An introduction to \(\Gamma\)-convergence
• \(\Gamma\)-convergence of nonlinear functionals in thin reticulated structures
• On the convergence of solutions of variational problems with implicit constraints defined by rapidly oscillating functions
• On the convergence of solutions of variational problems with variable implicit pointwise constraints in variable domains
• On the convergence of solutions of variational problems with bilateral obstacles in variable domains
• Variational problems with variable regular bilateral constraints in variable domains
• Homogenization of some problems with rapidly oscillating constraints
• Variational Analysis in Sobolev and BV Spaces
• QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS
• On the Γ-Convergence of integral functionals defined on sobolev weakly connected spaces
• 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 PASSAGE TO THE LIMIT IN NONLINEAR VARIATIONAL PROBLEMS
• ON THE NUMBER OF TRIANGULATION SIMPLEXES
• Existence and Regularity Results for Some Shape Optimization Problems
• Γ_D‐convergence for a class of quasilinear elliptic equations in thin structures

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