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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/w
Subject	Calculus of Variations Methods involving semicontinuity and convergence; relaxation Viscosity solutions Mazur's lemma. level convexity lower semicontinuity Supremal functionals
Title	On the Lower Semicontinuity of Supremal Functionals
Date	2003-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/cocv299/m/print http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/cocv299/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/cocv299/authorship/1 http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/cocv299/authorship/2
Author	Maggi, Francesco Gori, Michele
Abstract	In this paper we study the lower semicontinuity problem for a supremal functional of the form $F(u,\Omega )= underset{x\in\Omega}{\rm ess\,sup} f(x,u(x),Du(x))$ with respect to the strong convergence in L∞(Ω), furnishing a comparison with the analogous theory developed by Serrin for integrals. A sort of Mazur's lemma for gradients of uniformly converging sequences is proved.
article type	research-article
publisher identifier	cocv299
Date Copyrighted	2003-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2003
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2003/volume_9/issue_2003/cocv299/w/record

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