| dc.contributor.author | Dolbeault, Jean | |
| dc.contributor.author | Esteban, Maria J. | |
| dc.date.accessioned | 2010-07-23T15:07:23Z | |
| dc.date.available | 2010-07-23T15:07:23Z | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/4663 | |
| dc.language.iso | en | en |
| dc.subject | Caffarelli-Kohn-Nirenberg inequality | en |
| dc.subject | Hardy-Sobolev inequality | en |
| dc.subject | Sobolev spaces | en |
| dc.subject | existence | en |
| dc.subject | symmetry breaking | en |
| dc.subject | compactness | en |
| dc.subject | radial symmetry | en |
| dc.subject | Emden-Fowler transformation | en |
| dc.subject | Kelvin transformation | en |
| dc.subject | extremal functions | en |
| dc.subject | logarithmic Hardy inequality | en |
| dc.subject.ddc | 519 | en |
| dc.title | Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | We consider a family of Caffarelli-Kohn-Nirenberg interpolation inequalities and weighted logarithmic Hardy inequalities which have been obtained recently as a limit case of the first ones. We discuss the ranges of the parameters for which the optimal constants are achieved by extremal functions. The comparison of these optimal constants with the optimal constants of Gagliardo-Nirenberg interpolation inequalities and Gross' logarithmic Sobolev inequality, both without weights, gives a general criterion for such an existence result in some particular cases. | en |
| dc.relation.isversionofjnlname | Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences | |
| dc.relation.isversionofjnlvol | 142 | |
| dc.relation.isversionofjnlissue | 4 | |
| dc.relation.isversionofjnldate | 2012 | |
| dc.relation.isversionofjnlpages | 745-767 | |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1017/S0308210510001101 | |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00496936/fr/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | Cambridge University Press | |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
