From brunn-minkowski to sharp sobolev inequalities

被引：28
作者：
Bobkov, S. G. [1 ]
Ledoux, M. [2 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Toulouse 3, Inst Math, F-31062 Toulouse, France
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2008年 / 187卷 / 03期
基金：
美国国家科学基金会;
关键词：
46-XX;
D O I：
10.1007/s10231-007-0047-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a simple direct proof of the classical Sobolev inequality in R-n with best constant from the geometric Brunn-Minkowski-Lusternik inequality.
引用
收藏
页码：369 / 384
页数：16
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