Tian, YuGe, Weigao2021-07-202021-07-202006-10-19Tian, Y., & Ge, W. (2006). Periodic solutions for second-order Hamiltonian systems with the p-Laplacian. <i>Electronic Journal of Differential Equations, 2006</i>(134), pp. 1-12.1072-6691https://hdl.handle.net/10877/14007In 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 Z2-symmetric version of the Mountain Pass Theorem.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalHamiltonian systemp-LaplacianMountain Pass TheoremPeriodic solutionPeriodic solutions for second-order Hamiltonian systems with the p-LaplacianArticle