IMPROVED CAFFARELLI-KOHN-NIRENBERG AND TRACE INEQUALITIES FOR RADIAL FUNCTIONS

被引：9

作者：

De Napoli, Pablo L. ^{[1
]}

Drelichman, Irene ^{[1
]}

Duran, Ricardo G. ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 05期

关键词：

Radial functions; Caffarelli-Kohn-Nirenberg inequalities; trace inequalities; power weights; SHARP CONSTANTS;

D O I：

10.3934/cpaa.2012.11.1629

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in R-n x R+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.

引用

页码：1629 / 1642

页数：14

共 9 条

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