| dc.contributor.author | Dolbeault, Jean | |
| dc.contributor.author | Esteban, Maria J. | |
| dc.contributor.author | Tarantello, Gabriella | |
| dc.date.accessioned | 2009-06-18T12:37:31Z | |
| dc.date.available | 2009-06-18T12:37:31Z | |
| dc.date.issued | 2008 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/350 | |
| dc.language.iso | en | en |
| dc.subject | Weighted Moser-Trudinger inequality; Hardy-Sobolev inequality; Onofri's inequality; Caffarelli-Kohn-Nirenberg inequality; extremal functions; Kelvin transformation; Emden-Fowler transformation; stereographic projection; radial symmetry; symmetry breaking; blow-up analysis | en |
| dc.subject.ddc | 519 | en |
| dc.title | The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions | en |
| dc.type | Article accepté pour publication ou publié | en_US |
| dc.contributor.editoruniversityother | Dipartimento di Matematica Università degli studi di Roma II;Italie | |
| dc.description.abstracten | We first prove a weighted inequality of Moser-Trudinger type depending on a parameter, in the two-dimensional Euclidean space. The inequality holds for radial functions if the parameter is larger than -1. Without symmetry assumption, it holds if and only if the parameter is in the interval (-1,0]. The inequality gives us some insight on the symmetry breaking phenomenon for the extremal functions of the Hardy-Sobolev inequality, as established by Caffarelli-Kohn-Nirenberg, in two space dimensions. In fact, for suitable sets of parameters (asymptotically sharp) we prove symmetry or symmetry breaking by means of a blow-up method. In this way, the weighted Moser-Trudinger inequality appears as a limit case of the Hardy-Sobolev inequality. | en |
| dc.relation.isversionofjnlname | Annali della Scuola Normale Superiore di Pisa. Classe di Scienze | |
| dc.relation.isversionofjnlvol | 7 | en |
| dc.relation.isversionofjnlissue | 2 | en |
| dc.relation.isversionofjnldate | 2008 | |
| dc.relation.isversionofjnlpages | 313–341 | en |
| dc.relation.isversionofdoi | http://dx.doi.org/10.2422/2036-2145.2008.2.05 | en |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00139062/en/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | Le Edizioni della Normale | en |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
