Periodic solutions for a kind of $p$-Laplacian Hamiltonian systems
Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 355-367
https://doi.org/10.4134/BKMS.2010.47.2.355
Printed March 1, 2010
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
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