Lower and upper solutions for elliptic problems in nonsmooth domains

被引：12

作者：

De Coster, Colette ^{[1
]}

Nicaise, Serge ^{[2
]}

机构：

[1] Univ Littoral Cote dOpale, LMPA Liouville, F-62228 Calais, France

[2] Univ Valenciennes & Hainaut Cambresis, LAMAV, Inst Sci & Tech Valenciennes, F-59313 Valenciennes 9, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 03期

关键词：

lower and upper solutions; nonsmooth domains; semilinear dirichlet problem;

D O I：

10.1016/j.jde.2007.08.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some existence results of semilinear Dirichlet problems in nonsmooth domains in presence of lower and upper solutions well-ordered or not. We first prove existence results in an abstract setting using degree theory. We secondly apply them for domains with conical points. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：599 / 629

页数：31

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