Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries

被引：0

作者：

Ali, Mohammed ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 04期

关键词：

Best constants; compact Riemannian manifolds; Sobolev inequalities; isometries; SPACES;

D O I：

10.3906/mat-0907-115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let. (M, g) be a smooth compact <= n-dimensional Riemannian manifold, and G a subgroup of the isometry group of (M, g). We establish the best constants in second-order for a Sobolev inequality when the functions are G-invariant.

引用

页码：601 / 612

页数：12

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