| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4623042 | Journal of Mathematical Analysis and Applications | 2007 | 13 Pages |
Abstract
Based on a developed local linking theorem, by replacing the Palais–Smale condition with a Cerami one, we consider the following unbounded Hamiltonian system:equation(0.1){∂tu−Δxu+V(x)u=Hv(t,x,u,v),−∂tv−Δxv+V(x)v=Hu(t,x,u,v)for (t,x)∈R×Ω, where Ω⊂RNΩ⊂RN, N⩾1N⩾1, is a bounded domain with smooth boundary ∂Ω. The nonlinearities are assumed to be super-quadratic at the infinite, which are different from those investigated previously.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anmin Mao, Shixia Luan, Yanheng Ding,