Relaxation of some integral functionals in infinite dimension

DOI10.1007/BF01790542zbMath0627.49003OpenAlexW2048158759MaRDI QIDQ1092395

Ada Bottaro Aruffo

Publication date: 1986

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/bf01790542

zbMATH Keywords

integral functionalsrelaxed functionalinfinite dimensional spaces

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Numerical methods of relaxation type (49M20)

Cites Work

• Some properties of sequential topologies and normal integrands
• Inclusion and uniform continuity properties of the Nemytskij-operator
• Semicontinuity and relaxation for integrals depending on vector valued functions
• Weak continuity and weak lower semi-continuity of non-linear functionals
• Convex analysis and measurable multifunctions
• Weak compactness in spaces of Bochner integrable functions and applications
• Integral representation of dominated operations on spaces of continuous vector fields
• Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
• On Seminormality of Integral Functionals and Their Integrands
• Intégrandes normales et mesures paramétrées en calcul des variations
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