Regularity of the extremal solution for singular p-Laplace equations

被引：2

作者：

Castorina, Daniele ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2015年 / 146卷 / 3-4期

关键词：

ELLIPTIC PROBLEMS; POSITIVE SOLUTIONS;

D O I：

10.1007/s00229-014-0711-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the regularity of the extremal solution u (*) to the singular reaction-diffusion problem in on , where , is a smooth bounded domain and f is any positive, superlinear, increasing and (asymptotically) convex C (1) nonlinearity. We provide a simple proof of known L (r) and W (1,r) a priori estimates for u (*), i.e. if , if n > p + 2 and if n > pp'.

引用

页码：519 / 529

页数：11

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