A quantitative Polya-Szego principle

被引：28

作者：

Cianchi, Andrea ^{[1
]}

Esposito, Luca ^{[2
]}

Fusco, Nicola ^{[3
]}

Trombetti, Cristina ^{[3
]}

机构：

[1] Dipartimento Matemat & Applicaz Architettura, I-50122 Florence, Italy

[2] Dipartimento Ingn Informz & Matemat Applicata, I-84084 Fisciano, SA, Italy

[3] Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2008年 / 614卷

关键词：

D O I：

10.1515/CRELLE.2008.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The radially decreasing symmetrization is well known not to increase Dirichlet type integrals of Sobolev functions. In the present paper, the deviation of a function from its symmetral is estimated in terms of the gap between their Dirichlet integrals.

引用

页码：153 / 189

页数：37

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