The sharp quantitative Sobolev inequality for functions of bounded variation

被引：35
|
作者：
Fusco, N.
Maggi, F.
Pratelli, A.
机构：
[1] Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
[2] Dipartimento Matemat, I-50134 Florence, Italy
[3] Dipartimento Matemat, I-27100 Pavia, Italy
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 244卷 / 01期
关键词：
Sobolev inequality; BV functions; sharp estimate; isoperimetric inequality;
D O I：
10.1016/j.jfa.2006.10.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classical Sobolev embedding theorem of the space of functions of bounded variation BV(R-n) into L-n' (R-n) is proved in a sharp quantitative form. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：315 / 341
页数：27
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