Periodic solutions for second-order Hamiltonian systems with a p-Laplacian

Xingyong Zhang, Xianhua Tang

Abstract


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.

Keywords


Second-order Hamiltonian systems; p-Laplacian; periodic solution; Sobolev’s inequality; Wirtinger’s inequality; the least action principle

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References


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DOI: http://dx.doi.org/10.2478/v10062-010-0008-8
Date of publication: 2016-07-29 22:06:17
Date of submission: 2016-07-29 21:55:47


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