Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609463 | Journal of Differential Equations | 2016 | 35 Pages |
Abstract
In the present paper, we consider the following Kirchhoff type problems{−(a+b∫R3|∇u|2dx)Δu+V(x)u=u5,inR3,u∈D1,2(R3), where a>0,b>0a>0,b>0 and V∈L32(R3) is a given nonnegative function. If |V|32 is suitable small, we prove that this problem has at least one bound state solution.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qilin Xie, Shiwang Ma, Xu Zhang,