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.
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页码：1461 / 1468
页数：7
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