Show simple item record

Nonlinear flows and optimality for functional inequalities : an extended abstract

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.date.accessioned2023-01-23T11:10:25Z
dc.date.available2023-01-23T11:10:25Z
dc.date.issued2017
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23802
dc.language.isoenen
dc.subjectCaffarelli–Kohn–Nirenberg inequalitiesen
dc.subjectSymmetryen
dc.subjectSymmetry breakingen
dc.subjectOptimal constantsen
dc.subjectRigidity resultsen
dc.subjectFast diffusion equationen
dc.subjectCarré du champen
dc.subjectBifurcationen
dc.subjectInstabilityen
dc.subjectEmden–Fowler transformationen
dc.subjectCylindersen
dc.subjectNoncompact manifoldsen
dc.subjectLaplace–Beltrami operatoren
dc.subjectSpectral estimatesen
dc.subjectKeller–Lieb–Thirring estimateen
dc.subjectHardy inequalityen
dc.subject.ddc515en
dc.titleNonlinear flows and optimality for functional inequalities : an extended abstracten
dc.typeChapitre d'ouvrage
dc.description.abstractenThe talk given on the occasion of the ISIAM 2016 conference was mainly about rigidity results for nonnegative solutions of semilinear elliptic equation on infinite cylinder-like domains or in the Euclidean espace and as a consequence, about optimal symmetry properties for the optimizers of the Caffarelli–Kohn–Nirenberg inequalities. This text contains the main results presented in that conference. All the results will be stated in the simple case of spherical cylinders, but similar, even if less precise, results can also be stated and proved for general cylinders generated by any compact smooth Riemannian manifold without a boundary. Other consequences from the results below are optimal estimates for the principal eigenvalue of Schrödinger operators on infinite cylinders. The text below is an extended abstract of that talk.en
dc.identifier.citationpages21-26en
dc.relation.ispartofseriestitleIndustrial and Applied Mathematicsen
dc.relation.ispartoftitleIndustrial Mathematics and Complex Systemsen
dc.relation.ispartofeditorPammy Manchanda, René Lozi, Abul Hasan Siddiqi
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlin Heidelbergen
dc.relation.ispartofdate2017
dc.relation.ispartofpages357en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-981-10-3757-3en
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-981-10-3758-0en
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2023-01-23T11:07:40Z
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record