The optimal Euclidean Lp-Sobolev logarithmic inequality

dc.contributor.author	Del Pino, Manuel
dc.contributor.author	Dolbeault, Jean HAL ID: 87 ORCID: 0000-0003-4234-2298
dc.date.accessioned	2011-05-13T17:34:21Z
dc.date.available	2011-05-13T17:34:21Z
dc.date.issued	2003
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6292
dc.language.iso	en	en
dc.subject	Gagliardo–Nirenberg inequalities	en
dc.subject	Logarithmic Sobolev inequality	en
dc.subject	Optimal constants	en
dc.subject	Minimizers	en
dc.subject	Orlicz spaces	en
dc.subject.ddc	515	en
dc.title	The optimal Euclidean Lp-Sobolev logarithmic inequality	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We prove an optimal logarithmic Sobolev inequality in Wl,p(Rd). Explicit minimizers are given. This result is connected with best constants of a special class of Gagliardo–Nirenberg-type inequalities.	en
dc.relation.isversionofjnlname	Journal of Functional Analysis
dc.relation.isversionofjnlvol	197	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	2003
dc.relation.isversionofjnlpages	151-161	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1016/S0022-1236(02)00070-8	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Elsevier	en
dc.subject.ddclabel	Analyse	en

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