Nontrivial periodic solutions for strong resonance Hamiltonian systems via a local linking theorem |
| |
| Authors: | Rong Cheng Dongfeng Zhang |
| |
| Institution: | a Department of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, PR Chinab Department of Mathematics, Southeast University, Nanjing 210096, PR China |
| |
| Abstract: | In this paper, we first establish an existence result of critical points for a class of functionals defined on Hilbert spaces by using a local linking idea. Then as an application of the existence result, we obtain the existence of periodic solutions of strong resonance Hamiltonian systems which are asymptotically linear both at infinity and at origin. |
| |
| Keywords: | 58E05 34C25 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
