Hardy inequalities and some critical elliptic and parabolic problems

被引：38
|
作者：
Azorero, JPG [1 ]
Alonso, IP [1 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 144卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the behaviour of the nonlinear critical p-heat equation (and the related stationary p-laplacian equation) [GRAPHICS] where -Delta(p)u = -div(\del u\(p-2)del u), f(x)greater than or equal to 0 verifying convenient regularity assumptions, Omega is a bounded domain in R-N such that 0 is an element of Omega, and 1<p<N. The analysis reveals that the behaviour depends on p. The results depend in general on the relation between it and the best constant in Hardy's inequality. (C) 1998 Academic Press.
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收藏
页码：441 / 476
页数：36
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