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Title

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

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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

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

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Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2010/54/1
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Main language of publication
English
Published
2010
Published online
2016-07-29

DOI: 10.17951/a.2010.54.1.93-113

Exact and natural sciences