Existence and uniqueness of positive solutions of semilinear elliptic equations

被引：0

作者：

Qiu-yi Dai

Yu-xia Fu

Yong-geng Gu

机构：

[1] Hunan Normal University,Department of Mathematics

[2] Hunan University,Department of Applied Mathematics

来源：

Science in China Series A: Mathematics | 2007年 / 50卷

关键词：

semilinear elliptic equation; positive solution; existence; uniqueness; nondegeneracy; 35J65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to the study of existence, uniqueness and non-degeneracy of positive solutions of semi-linear elliptic equations. A necessary and sufficient condition for the existence of positive solutions to problems is given. We prove that if the uniqueness and non-degeneracy results are valid for positive solutions of a class of semi-linear elliptic equations, then they are still valid when one perturbs the differential operator a little bit. As consequences, some uniqueness results of positive solutions under the domain perturbation are also obtained.

引用

页码：1141 / 1156

页数：15

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