POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH SMALL PERTURBATIONS

被引：0

作者：

Kajikiya, Ryuji ^{[1
]}

机构：

[1] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 04期

基金：

日本学术振兴会;

关键词：

Mountain pass lemma; positive solution; perturbation problem; semilinear elliptic equation; variational method; CHANGING WEIGHT FUNCTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the semilinear elliptic equation with a small perturbation. We assume the main term in the equation to have a mountain pass structure but do not suppose any condition for the perturbation term. Then we prove the existence of a positive solution. Moreover, we prove the existence of at least two positive solutions if the perturbation term is nonnegative.

引用

页码：1335 / 1342

页数：8

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