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Start Over Descriptor "weighted Hardy-Sobolev inequality" Journal proceedings of the japan academy, series a: mathematical sciences
1 results on '"weighted Hardy-Sobolev inequality"'

1. Radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p = 1.

Author

Naoki CHIBA and Toshio HORIUCHI

Subjects
*MATHEMATICAL equivalence, *MATHEMATICS, *EQUATIONS, *EQUIVALENCE relations (Set theory), *SYMMETRY breaking
Abstract

The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (1.2) with p = 1. We show that symmetry breaking of the best constants occurs provided that a parameter ∣∣γ is large enough. In the argument we effectively employ equivalence between the Caffarelli-Kohn-Nirenberg type inequalities with p = 1 and the isoperimetric inequalities with weights [ABSTRACT FROM AUTHOR]

Published
2016
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