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hal.structure.identifier
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
*
hal.structure.identifier
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
*
hal.structure.identifier
dc.contributor.authorFilippas, Stathis*
hal.structure.identifier
dc.contributor.authorTertikas, Achilles*
dc.date.accessioned2014-12-11T12:41:26Z
dc.date.available2014-12-11T12:41:26Z
dc.date.issued2015
dc.identifier.issn0944-2669
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14407
dc.language.isoenen
dc.subjectHardy-Sobolev inequality
dc.subjectCaffarelli-Kohn-Nirenberg inequalities
dc.subject.ddc515en
dc.titleRigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDepartment of Mathematics, Univ. of Crete;Grèce
dc.description.abstractenWe take advantage of a rigidity result for the equation satis edby an extremal function associated with a special case of the Ca arelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequali-ties. The main ingredient is a reparametrization of the solutions to the Euler-Lagrange equations and estimates based on the rigidity result. The symmetryresults cover a range of parameters which go well beyond the one that can beachieved by symmetrization methods or comparison techniques so far.
dc.relation.isversionofjnlnameCalculus of Variations and Partial Differential Equations
dc.relation.isversionofjnlvol54
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages2465-2481
dc.relation.isversionofdoi10.1007/s00526-015-0871-9
dc.identifier.urlsitehttps://arxiv.org/abs/1412.0608v1
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyseen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-07-22T12:38:16Z
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