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Communication Dans Un Congrès Année : 2011

Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants

Résumé

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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Dates et versions

hal-00521677 , version 1 (28-09-2010)

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Jean Dolbeault, Maria J. Esteban. Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants. QMath11 Conference Mathematical Results in Quantum Physics, 2010, Czech Republic. pp.178-182. ⟨hal-00521677⟩
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