On the cases of equality in Bobkov's inequality and Gaussian rearrangement

被引：74

作者：

Carlen, EA ^{[1
]}

Kerce, C ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2001年 / 13卷 / 01期

关键词：

D O I：

10.1007/PL00009921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine all of the cases of equality in a recent inequality of Bobkov that implies the isoperimetric inequality on Gauss space. As an application we determine all of the cases of equality in the Gauss space analog of the Faber-Krahn inequality.

引用

页码：1 / 18

页数：18

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