New periodic solutions for a class of singular Hamiltonian systems |
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| Authors: | Peng Fei Yuan Shi Qing Zhang |
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| Institution: | 1601. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China
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| Abstract: | In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz and Ambrosetti-Coti Zelati with (PSC)c type condition of Palais-Smale-Cerami to study the existence of new periodic solutions with a prescribed energy for symmetrical singular second order Hamiltonian conservative systems with weak force type potentials. |
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| Keywords: | Singular Hamiltonian systems periodic solutions Mountain Pass Lemma Palais–Smale–Cerami condition |
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