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paper

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

arXiv:1109.6212 · doi:10.1063/1.4704911

Abstract

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.