Symmetry results for functions yielding best constants in Sobolev-type inequalities

被引：47

作者：

Kawohl, B ^{[1
]}

机构：

[1] Univ Cologne, Inst Math, D-50923 Cologne, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 03期

关键词：

symmetry; Sobolev inequality; eigenvalues;

D O I：

10.3934/dcds.2000.6.683

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

I report on symmetry results for functions which yield sharp constants in various Sobolev-type inequalities. One of these results relies on a surprising convexity property.

引用

页码：683 / 690

页数：8

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