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New Periodic Solutions for N-Body Problems with Weak Force Potentials

Pengfei Yuan; Shiqing Zhang — 2012

Bollettino dell'Unione Matematica Italiana

In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz ([5]) and Ambrosetti-Coti Zelati ([2]) with (CPS)c type condition of Cerami-Palais-Smale ([12]) to study the existence of new periodic solutions with a prescribed energy for N-body problems with weak force type potentials.

Pyramidal central configurations and perverse solutions.

Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

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