Remark on the well-posedness of the problem of minimization of integral functionals

DOI10.1007/BF00941168zbMath0674.49009OpenAlexW2024209824MaRDI QIDQ1121515

Nikolaos S. Papageorgiou

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00941168

zbMATH Keywords

normal integrandsminimizing sequencesintegral functionalglobal well-posednessconstrained minimizationmeasurable multifunctionsintegrable selectors

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Existence theories in calculus of variations and optimal control (49J99)

Cites Work

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• Well-posed optimization problems for integral functionals
• Measurable multifunctions and their applications to convex integral functionals
• Integrals, conditional expectations, and martingales of multivalued functions
• On equiwellset minimum problems
• A characterization of well-posed minimum problems in a complete metric space
• A Characterization of Well-Posed Optimal Control Systems
• Characterizations of Some Variational Perturbations of the Abstract Linear-Quadratic Problem
• Survey of Measurable Selection Theorems