New Periodic Solutions for a Class of Singular Hamiltonian Systems  

作　　者：Peng Fei YUAN Shi Qing ZHANG 

机构地区：[1]Department of Mathematics, Sichuan University

出　　处：《Acta Mathematica Sinica,English Series》2013年第6期1205-1218,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11071175);National Research Foundation for the Doctoral Program of Ministry of Education of China

摘　　要：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.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.

关 键 词：Singular Hamiltonian systems periodic solutions Mountain Pass Lemma Palais–Smale–Cerami condition 

分 类 号：O175[理学—数学]