About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities
dc.contributor.author | Esteban, Maria J.
HAL ID: 738381 ORCID: 0000-0003-1700-9338 | |
dc.contributor.author | Dolbeault, Jean
HAL ID: 87 ORCID: 0000-0003-4234-2298 | |
dc.date.accessioned | 2010-11-29T10:49:35Z | |
dc.date.available | 2010-11-29T10:49:35Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/5185 | |
dc.language.iso | en | en |
dc.subject | optimal constants | en |
dc.subject | compactness | en |
dc.subject | existence | en |
dc.subject | linearization | en |
dc.subject | Emden-Fowler transformation | en |
dc.subject | symmetry breaking | en |
dc.subject | radial symmetry | en |
dc.subject | extremal functions | en |
dc.subject | logarithmic Sobolev inequality | en |
dc.subject | logarithmic Hardy inequality | en |
dc.subject | Gagliardo-Nirenberg inequality | en |
dc.subject | Caffarelli-Kohn-Nirenberg inequality | en |
dc.subject.ddc | 515 | en |
dc.title | About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities | en |
dc.type | Chapitre d'ouvrage | |
dc.description.abstracten | This article is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg (CKN) and weighted logarithmic Hardy (WLH) inequalities. These results have been obtained in a series of papers in collaboration with M. del Pino, S. Filippas, M. Loss, G. Tarantello and A. Tertikas. Here we put the highlights on a symmetry breaking result: extremals of some inequalities are not radially symmetric in regions where the symmetric extremals are linearly stable. Special attention is paid to the study of the critical cases for (CKN) and (WLH). | en |
dc.identifier.citationpages | 117-130 | en |
dc.relation.ispartofseriestitle | Abel Symposia | |
dc.relation.ispartofseriesnumber | vol.7 | |
dc.relation.ispartoftitle | Nonlinear Partial Differential Equations - The Abel Symposium 2010 | |
dc.relation.ispartofeditor | Karlsen, Kenneth H. | |
dc.relation.ispartofeditor | Holden, Helge | |
dc.relation.ispartofpublname | Springer | |
dc.relation.ispartofpublcity | Berlin | |
dc.relation.ispartofdate | 2012 | |
dc.relation.ispartofpages | 360 | |
dc.relation.ispartofurl | http://dx.doi.org/10.1007/978-3-642-25361-4 | |
dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00539019/fr/ | en |
dc.description.sponsorshipprivate | oui | en |
dc.subject.ddclabel | Analyse | en |
dc.relation.ispartofisbn | 978-3-642-25360-7 | |
dc.identifier.doi | http://dx.doi.org/10.1007/978-3-642-25361-4_6 |
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