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dc.contributor.authorVillani, Cédric
dc.contributor.authorCordero-Erausquin, Dario
dc.contributor.authorNazaret, Bruno
HAL ID: 7130
dc.date.accessioned2009-06-30T09:36:52Z
dc.date.available2009-06-30T09:36:52Z
dc.date.issued2004
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/543
dc.language.isoenen
dc.subjectGagliardo–Nirenberg inequalitiesen
dc.subject.ddc519en
dc.titleA mass transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalitiesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité Paris XII Val de Marne;
dc.contributor.editoruniversityotherEcole Normale Supérieure de Lyon - ENS Lyon;
dc.description.abstractenWe 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.isversionofjnlnameAdvances in Mathematics
dc.relation.isversionofjnlvol182en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2004-03
dc.relation.isversionofjnlpages307-332en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/S0001-8708(03)00080-Xen
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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