Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries

被引：15

作者：

Faget, Z ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math, Equipe Geometrie & Dynam, F-75013 Paris, France

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2003年 / 24卷 / 02期

关键词：

best constants; second best constant; Sobolev inequalities; isometries;

D O I：

10.1023/A:1024410428935

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a theorem on the existence of a 'second best constant' in critical Sobolev inequalities on compact Riemannian manifolds under the action of an isometry group. The theorem is then applied to several examples initially introduced by different authors.

引用

页码：161 / 200

页数：40

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