Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 134, pp. 1-12.

Title: Periodic solutions for second-order Hamiltonian 
       systems with the p-Laplacian

Authors: Yu Tian (Beijing Univ. of Posts and Telecom., China)
         Weigao Ge (Beijing Institute of Technology, China)
	 
Abstract: 
 In this paper, we  investigate the periodic solutions of
 Hamiltonian system with the p-Laplacian. By using Mountain Pass
 Theorem the existence of at least  one periodic solution is obtained,
 Furthermore, under suitable assumptions, we obtain the existence of
 infinitely many solutions via $Z_2$-symmetric  version of the
 Mountain Pass Theorem.

Submitted July 16, 2006. Published October 19, 2006.
Math Subject Classifications: 34B15, 58E30.
Key Words: Hamiltonian system; p-Laplacian; Mountain Pass Theorem; 
           Periodic solution.