Periodic solutions of a class of Newtonian equations

Dixiang Cheng; Zhengrong Liu; Xin Huang

doi:10.3934/cpaa.2009.8.1795

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2009, Volume 8, Issue 6: 1795-1801. Doi: 10.3934/cpaa.2009.8.1795

This issue Previous Article Low dimensional instability for semilinear and quasilinear problems in $\mathbb{R}^N$ Next Article Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering

Periodic solutions of a class of Newtonian equations

1.
College of Mobile Telecom., Chongqing University of Posts and Telecom., Chongqing 401520
2.
Department of Mathematics, South China University of Technology, Guangzhou 510640
3.
Department of Mathematics, , Sichuan Normal University, Chengdu 610068

Received: June 2008

Revised: November 2008

Published: November 2009

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we apply the Mountain Pass Lemma of Ambrosetti-Rabinowitz [2] to study the existence of new periodic solutions with a prescribed energy for a class of second order Hamiltonian conservative systems.

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Mathematics Subject Classification: 34C15, 34C25, 58F.

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