New periodic solutions for a class of singular Hamiltonian systems

作者：Yuan Peng Fei; Zhang Shi Qing^*

来源：Acta Mathematica Sinica-English Series, 2013, 29(6): 1205-1218.

DOI：10.1007/s10114-013-0601-1

• Singular Hamiltonian systems
• periodic solutions
• Mountain Pass Lemma
• Palais-Smale-Cerami condition

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.

• 出版日期2013-6
• 单位四川大学