The sharp Sobolev inequality in quantitative form

被引：72

作者：

Cianchi, A. ^{[1
]}

Fusco, N. ^{[2
]}

Maggi, F. ^{[3
]}

Pratelli, A. ^{[4
]}

机构：

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

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

[3] Dipartimento Matemat, I-50134 Florence, Italy

[4] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2009年 / 11卷 / 05期

关键词：

ISOPERIMETRIC INEQUALITY; BOUNDED VARIATION; PRINCIPLE; REARRANGEMENTS; ASYMMETRY; DOMAINS;

D O I：

10.4171/JEMS/176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quantitative version of the sharp Sobolev inequality in W(1, p)(R(n)), 1 < p < n, is established with a remainder term involving the distance from the family of extremals.

引用

页码：1105 / 1139

页数：35

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