| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627312 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
In this paper, we study the following fourth-order elliptic equation of the form▵2u-▵u+V(x)u-κ2▵(u2)u=h(x,u),x∈RN,where ▵2≔▵(▵)▵2≔▵(▵) is the biharmonic operator, κ⩾0κ⩾0, N⩽6N⩽6, V∈C(RN,R)V∈C(RN,R) and h∈C(RN×R,R)h∈C(RN×R,R). Under appropriate assumptions on V(x)V(x) and h(x,u)h(x,u), some existence and multiplicity results for nontrivial solutions are obtained via variational methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shaoxiong Chen, Jiu Liu, Xian Wu,