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 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.2010.47.2.355Printed 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 Downloads: Full-text PDF