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 |