Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect

被引：0

作者：

Guan-qi Liu

Yu-wen Wang

Jun-ping Shi

机构：

[1] Harbin Normal University,Y. Y. Tseng Functional Analysis Research Center and Department of Mathematics

[2] College of William and Mary,Department of Mathematics

来源：

Applied Mathematics and Mechanics | 2009年 / 30卷

关键词：

semilinear equation; Allee effect; positive solutions; existence; O175.25; 35B32; 35J25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study a semilinear elliptic equation defined on a bounded smooth domain. This type of problem arises from the study of spatial ecology model, and the growth function in the equation has a strong Allee effect and is inhomogeneous. We use variational methods to prove that the equation has at least two positive solutions for a large parameter if it satisfies some appropriate conditions. We also prove some nonexistence results.

引用

页码：1461 / 1468

页数：7

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