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Reverse Hardy-Littlewood-Sobolev inequalities

dc.contributor.authorCarillo, José A.*
dc.contributor.authorDelgadino, Matías*
dc.contributor.authorDolbeault, Jean*
dc.contributor.authorRupert, Frank*
dc.contributor.authorHoffmann, Franca*
dc.date.accessioned2018-09-05T09:40:45Z
dc.date.available2018-09-05T09:40:45Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17954
dc.language.isoenen
dc.subjectreverse Hardy-Littlewood-Sobolev inequalitiesen
dc.subject.ddc515en
dc.titleReverse Hardy-Littlewood-Sobolev inequalitiesen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is devoted to a new family of reverse Hardy-Littlewood-Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and the properties of the optimal functions. A striking open question is the possibility of concentration which is analyzed and related with free energy functionals and nonlinear diffusion equations involving mean field drifts.en
dc.identifier.citationpages30en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01837888en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2018-07
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2018-09-05T09:35:38Z
hal.person.labIds4553*
hal.person.labIds4553*
hal.person.labIds60*
hal.person.labIds6961*
hal.person.labIds241021*


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