Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418745 | Journal of Mathematical Analysis and Applications | 2014 | 14 Pages |
Abstract
In this paper, we investigate the existence and multiplicity of solutions for the following elliptic boundary value problems{âÎu+a(x)u=g(x,u)in Ω,u=0on âΩ, where g(x,u)=âKu(x,u)+Wu(x,u). By using the symmetric mountain pass theorem, we obtain two results about infinitely many solutions when g(x,u) is odd in u, K satisfies the pinching condition and W has a super-quadratic growth. Moreover, when the condition “g(x,u) is odd” is not assumed, by using the mountain pass theorem, we also obtain two existence results of one nontrivial weak solution. One of these results generalizes a recent result in Mao, Zhu and Luan (2012) [10].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xingyong Zhang,