Radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for

The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (\ref{Lb2}) with ... We show that symmetry breaking of the best constants occurs provided that a parameter ... is large enough. In the argument we effectively employ equivalence between the Caffarelli-Kohn-N...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 92; no. 4; pp. 51 - 55
Main Authors Chiba, Naoki, Horiuchi, Toshio
Format Journal Article
LanguageEnglish
Published Ueno Park The Japan Academy 01.04.2016
Subjects
Broken symmetry
Constants
Equivalence
Formulas (mathematics)
Inequalities
Mathematical analysis
Series (mathematics)
Studies
Symmetry
Theoretical mathematics
Online AccessGet full text

Cover

More Information
Summary:The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (\ref{Lb2}) with ... We show that symmetry breaking of the best constants occurs provided that a parameter ... is large enough. In the argument we effectively employ equivalence between the Caffarelli-Kohn-Nirenberg type inequalities with ... and the isoperimetric inequalities with weights. [ProQuest: ... denotes formula omitted]
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0386-2194
DOI:10.3792/pjaa.92.51