The sharp Sobolev inequality in quantitative form

被引：64
|
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
收藏
页码：1105 / 1139
页数：35
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