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American Institute of Physics, Journal of Mathematical Physics, 9(53), p. 095204, 2012

DOI: 10.1063/1.4704911

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

Journal article published in 2012 by Jean Dolbeault ORCID, Maria J. Esteban, Michael Loss
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This paper is available in a repository.

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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.