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Article in peer-reviewed journal

Jounal of mathematical physics 53(P) (2012) 095204

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v1 (2011-09-27)

v2 (2011-09-28)

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PDF DEL-26-09-2011-hal.pdf(256.5 KB) PS DEL-26-09-2011-hal.ps(1.1 MB)

Symmetry of extremals of functional inequalities via spectral estimates for linear operators

Jean Dolbeault1, Maria J. Esteban1, Michael Loss2

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.

1:	CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2:	School of Mathematics - Georgia Institute of Technology

Keyword(s) : 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

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