On a Sobolev-type inequality

被引：0
|
作者：
Alvino, Angelo [1 ]
机构：
[1] Complesso Univ Monte S Angelo, Univ Naples Federico II, Dip Matemat & Appl R Caccioppoli, I-80126 Naples, Italy
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2009年 / 20卷 / 04期
关键词：
Sobolev inequality; Isoperimetric inequalities; one-dimensional Calculus of Variations;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new proof of the classical Sobolev inequality in R(n) with the best constant is given. The result follows from an intermediate inequality which connects in a sharp way the L(p) norm of the gradient of a function u to L(p)* and L(p)* -weak norms of u, where p is an element of ]1, n[ and p* = np/n-p is the Sobolev exponent.
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页码：379 / 386
页数：8
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