Periodic solutions for second-order Hamiltonian systems with a p -Laplacian
Xianhua Tang, Xingyong Zhang (2010)
Annales UMCS, Mathematica
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In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.