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

Loss, Michael; Esteban, Maria J.; Dolbeault, Jean (2012), Symmetry of extremals of functional inequalities via spectral estimates for linear operators, Journal of Mathematical Physics, 53, 9, p. 18 pages. http://link.aip.org/link/doi/10.1063/1.4704911

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1109.6212v1
Date
2012
Journal name
Journal of Mathematical Physics
Volume
53
Number
9; 9
Publisher
American Institute of Physics
Pages
18 pages
Publication identifier
http://link.aip.org/link/doi/10.1063/1.4704911
Metadata
Show full item record
Author(s)
Loss, Michael
Esteban, Maria J. cc
Dolbeault, Jean cc
Abstract (EN)
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.
Subjects / Keywords
Caffarelli-Kohn-Nirenberg inequalities

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