Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619205 | Journal of Mathematical Analysis and Applications | 2010 | 12 Pages |
Abstract
We study the existence of ground state solutions for the following elliptic systems in RNRN{−Δu+b⋅∇xu+u=Hv(x,u,v),−Δv−b⋅∇xv+v=Hu(x,u,v), where b=(b1,…,bN)b=(b1,…,bN) is a constant vector and H∈C1(RN×R2,R)H∈C1(RN×R2,R) is nonperiodic in variables x and super-quadratic as |z|→∞|z|→∞. By a recent critical point theorem for strongly indefinite problem, we obtain the existence of at least one ground state solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Minbo Yang, Wenxiong Chen, Yanheng Ding,