Continuity theorem for nonlinear integral functionals and Aumann-Perles' variational problem

DOI10.3792/pjaa.62.163zbMath0601.49006OpenAlexW2019395387MaRDI QIDQ1081108

Toru Maruyama

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.163

zbMATH Keywords

integral functionalslower semicontinuitydirect method\(L^ 1\)-weak compactness

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Nonlinear operators and their properties (47H99)

Related Items (5)

Compactness criteria for an operator constraint in the Arkin-Levin variational problem ⋮ A variational problem determined by probability measures ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ Optimality Conditions for Nonconvex Variational Problems with Integral Constraints in Banach Spaces ⋮ Convexity and closure in optimal allocations determined by decomposable measures

Cites Work

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• On a variational problem
• A variational problem arising in economics
• Lower Semicontinuity of Integral Functionals
• On Lower Semicontinuity of Integral Functionals. I
• Intégrandes normales et mesures paramétrées en calcul des variations
• CONVEXITY OF VALUES OF VECTOR INTEGRALS, THEOREMS ON MEASURABLE CHOICE AND VARIATIONAL PROBLEMS

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