Nontrivial periodic solutions for strong resonance Hamiltonian systems via a local linking theorem

作者：Cheng, Rong^*; Zhang, Dongfeng

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(16): 5467-5474.

DOI：10.1016/j.na.2011.05.032

• Critical points
• Periodic solutions
• Strong resonance conditions
• Local linking
• Hamiltonian systems

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.

• 出版日期2011-11
• 单位南京信息工程大学; 东南大学