On positive solutions for a class of nonlocal problems

被引：0
|
作者：
Dai, Guowei [1 ]
机构：
[1] NE Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 58期
关键词：
Positive solutions; Nonlocal problem; Inhomogeneous strong Allee effect; ELLIPTIC EQUATION; KIRCHHOFF-TYPE; EXISTENCE;
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 a class of nonlocal semilinear elliptic problems with inhomogeneous strong Allee effect. By means of variational approach, we prove that the problem has at least two positive solutions for large lambda under suitable hypotheses about nonlinearity. We also prove some nonexistence results. In particular, we give a positive answer to the conjecture of Liu-Wang-Shi.
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页码：1 / 12
页数：12
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