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.

引用

页码：441 / 476

页数：36

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