| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614789 | Journal of Mathematical Analysis and Applications | 2016 | 18 Pages |
Abstract
The paper deals with the following Kirchhoff-type problems:{−(a+b∫RN|∇u|2dx)△u+λV(x)u=f(x,u) in RN,u∈H1(RN), where constants a,b>0a,b>0, λ≥1λ≥1 is a parameter, and f(x,u)f(x,u) is either sublinear or superlinear at infinity. Under relaxed assumptions on V(x)V(x), we establish the existence and multiplicity results without the compactness of embedding of the working space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liping Xu, Haibo Chen,