Variational Minimizers on Periodic Solutions of Singular Hamiltonian Systems with a Fixed Energy

Zhang Shiqing

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Variational Minimizers on Periodic Solutions of Singular Hamiltonian Systems with a Fixed Energy

Zhang Shiqing *

Sichuan University

*Correspondence author

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Funding: 国家自然科学基金,教育部博士点基金（No.10671132,）

Opened online:26 August 2009

Accepted by: none

Citation: Zhang Shiqing.Variational Minimizers on Periodic Solutions of Singular Hamiltonian Systems with a Fixed Energy[OL]. [26 August 2009] http://en.paper.edu.cn/en_releasepaper/content/34637

In this paper, we apply the variational minimizing method with Cerami-Palais- Smale conditin to study the existence of new periodic solutions with a prescribed energy for a class of symmetrical singular second order Hamiltonian systems .

Keywords:Singular second order Hamiltonian systems;periodic solutions;variational minimizing method;Cerami-Palais-Smale condition

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