Lower Semicontinuity, Optimization and Regularizing Extensions of Integral Functionals

DOI10.1137/0319025zbMath0473.49009OpenAlexW2001027021MaRDI QIDQ3927756

Francesco Ferro

Publication date: 1981

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0319025

zbMATH Keywords

integral functionalexistence of a minimumgrowth conditionlower-semi-continuity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Necessary conditions for multiple integral problem in the calculus of variations

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