Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 138, pp. 1-14.

Title: Subharmonic solutions for non-autonomous second-order sublinear
       Hamiltonian systems with p-Laplacian

Author: Zhiyong Wang (Nanjing Univ. of Information Science, China)

Abstract:
 In this article, we study the existence of subharmonic
 solutions to the non-autonomous second-order sublinear Hamiltonian
 systems with p-Laplacian. Introducing some kinds of control
 functions, infinitely many subharmonic solutions are obtained by
 using the minimax methods in critical point theory. We point out
 that our results are new even in the case p=2.

Submitted August 1, 2011. Published October 20, 2011.
Math Subject Classifications: 34B15, 34K13, 58E30.
Key Words: Control functions; subharmonic solutions;
           p-Laplacian systems;  minimax methods.