Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778757 | Arab Journal of Mathematical Sciences | 2017 | 15 Pages |
Abstract
In this article we study the problem Î2uâ(1+λâ«RN|âu|2dx)Îu+V(x)u=|u|pâ2uin RN, where Î2âÎ(Î) is the biharmonic operator, λ>0 is a parameter, pâ(2,2â), and V(x)âC(RN,R). Under appropriate assumptions on V(x), the existence of ground state solutions and a least energy sign-changing solution is obtained by combining the variational methods and the Nehari method.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sofiane Khoutir, Haibo Chen,