Calculus of variations with convexity constraint

dc.contributor.author	Carlier, Guillaume
dc.date.accessioned	2011-06-14T16:15:36Z
dc.date.available	2011-06-14T16:15:36Z
dc.date.issued	2002
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6496
dc.language.iso	en	en
dc.subject	calculus of variations problems	en
dc.subject.ddc	519	en
dc.title	Calculus of variations with convexity constraint	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	This article studies calculus of variations problems under a convexity constraint. The main motivations are Newton’s least resistance problem and mathematical economics. First a compactness result is proved which enables us to prove existence of solutions for nonconvex lagrangians or functionals with linear growth. Then a ﬁrst order necessary condition is established by a penalization method. Finally, several examples of applications are derived from the latter.	en
dc.relation.isversionofjnlname	Journal of Nonlinear and Convex Analysis
dc.relation.isversionofjnlvol	3	en
dc.relation.isversionofjnlissue	2	en
dc.relation.isversionofjnldate	2002
dc.relation.isversionofjnlpages	125-143	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Yokohama Publishers	en
dc.subject.ddclabel	Probabilités et mathématiques appliquées	en

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