A mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities

dc.contributor.author	Villani, Cédric
dc.contributor.author	Cordero-Erausquin, Dario
dc.contributor.author	Nazaret, Bruno HAL ID: 7130
dc.date.accessioned	2009-06-30T09:36:52Z
dc.date.available	2009-06-30T09:36:52Z
dc.date.issued	2004
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/543
dc.language.iso	en	en
dc.subject	Gagliardo–Nirenberg inequalities	en
dc.subject.ddc	519	en
dc.title	A mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities	en
dc.type	Article accepté pour publication ou publié
dc.contributor.editoruniversityother	Université Paris XII Val de Marne;
dc.contributor.editoruniversityother	Ecole Normale Supérieure de Lyon - ENS Lyon;
dc.description.abstracten	We show that mass transportation methods provide an elementary and powerful approach to the study of certain functional inequalities with a geometric content, like sharp Sobolev or Gagliardo-Nirenberg inequalities. The Euclidean structure of Rn plays no role in our approach: we establish these inequalities, together with cases of equality, for an arbitrary norm.	en
dc.relation.isversionofjnlname	Advances in Mathematics
dc.relation.isversionofjnlvol	182	en
dc.relation.isversionofjnlissue	2	en
dc.relation.isversionofjnldate	2004-03
dc.relation.isversionofjnlpages	307-332	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1016/S0001-8708(03)00080-X	en
dc.description.sponsorshipprivate	oui	en
dc.subject.ddclabel	Probabilités et mathématiques appliquées	en

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