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| HAL : hal-00521677, version 1 |
| arXiv : 1009.5619 |
| Fiche détaillée |  Récupérer au format |
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| QMath11 Conference Mathematical Results in Quantum Physics, Tchèque, République (2010) |
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| Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants |
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| Jean Dolbeault 1Maria J. Esteban 1 |
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| (2011) |
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| This contribution is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg and weighted logarithmic Hardy 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 and are presented from a new viewpoint. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Physique/Physique mathématique Mathématiques/Physique mathématique |
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| Caffarelli-Kohn-Nirenberg inequality – Gagliardo-Nirenberg inequality – logarithmic Hardy inequality – logarithmic Sobolev inequality – extremal functions – radial symmetry – symmetry breaking – Emden-Fowler transformation – linearization – existence – compactness – optimal constants |
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| hal-00521677, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00521677 | |
| oai:hal.archives-ouvertes.fr:hal-00521677 | |
| Contributeur : Jean Dolbeault | |
| Soumis le : Mardi 28 Septembre 2010, 13:08:24 | |
| Dernière modification le : Dimanche 18 Décembre 2011, 18:11:48 | |
