Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2010; 47(2): 355-367

Printed March 1, 2010

https://doi.org/10.4134/BKMS.2010.47.2.355

Copyright © The Korean Mathematical Society.

Periodic solutions for a kind of $p$-Laplacian Hamiltonian systems

Li Zhang and Weigao Ge

Beijing Institute of Technology and Beijing Institute of Technology

Abstract

In this paper, the existence of periodic solutions is obtained for a kind of $p$-Laplacian systems by the minimax methods in critical point theory. Moreover, the existence of infinite periodic solutions is also obtained.

Keywords: periodic solution, $p$-Laplacian system, PS-condition, saddle point theorem

MSC numbers: 34K13, 35A15