SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS ON BOUNDED MULTICONNECTED DOMAINS

被引：0

作者：

Gao, Wenjie ^{[1
]}

Wang, Junyu ^{[1
]}

Zhang, Zhongxin ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Semilnear elliptic boundary-value problem; nonnegative solution; radial solution; nonexistence; existence; multiplicity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semilinear elliptic boundary-value problem on bounded multi-connected domains is studied. The authors prove that under suitable conditions, the problem may have no solutions in certain cases and many have one or two nonnegative solutions in some other cases. The radial solutions were also studied in annular domains.

引用

页数：11

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[42] On general boundary-value problems for elliptic equations
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