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Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities

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.authorLoss, Michael*
dc.date.accessioned2017-11-27T10:14:09Z
dc.date.available2017-11-27T10:14:09Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17052
dc.language.isoenen
dc.subjectrigidity results
dc.subjectsymmetry breaking
dc.subjectoptimal constants
dc.subjectCaffarelli-Kohn-Nirenberg inequalities
dc.subjectsymmetry
dc.subjectfast diffusion equation
dc.subject.ddc515en
dc.titleSymmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
dc.typeDocument de travail / Working paper
dc.description.abstractenIn their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the optimizers for the inequalities have broken symmetry. It has been shown recently that in the complement of this region the optimizers are radially symmetric. The ideas for the proof will be given.
dc.identifier.citationpages9
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphine
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01286546
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-19T16:40:26Z
hal.author.functionaut
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