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| HAL: hal-00626739, version 2 |
| arXiv: 1109.6212 |
| Detailed view |  Export this paper |
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| Jounal of mathematical physics 53(P) (2012) 095204 |
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| Available versions: | v1 (2011-09-27) | v2 (2011-09-28) |
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| Symmetry of extremals of functional inequalities via spectral estimates for linear operators |
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| Jean Dolbeault 1Maria J. Esteban 1 |
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| (2012-12-31) |
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| We prove new symmetry results for the extremals of the Caffarelli-Kohn-Nirenberg inequalities in any dimension larger or equal than 2, in a range of parameters for which no explicit results of symmetry were previously known. |
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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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| 2: | School of Mathematics - Georgia Institute of Technology |
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Georgia Institute of Technology (Georgia Tech) |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Hardy-Sobolev inequality – Caffarelli-Kohn-Nirenberg inequality – extremal functions – Kelvin transformation – Emden-Fowler transformation – radial symmetry – symmetry breaking – rigidity – Lieb-Thirring inequalities – generalized Poincaré inequalities – estimates of the best constants – cylinder – Riemannian manifold – Ricci curvature |
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| hal-00626739, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00626739 | |
| oai:hal.archives-ouvertes.fr:hal-00626739 | |
| From: Jean Dolbeault | |
| Submitted on: Wednesday, 28 September 2011 16:06:26 | |
| Updated on: Monday, 2 July 2012 22:56:57 | |
