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.
@article{bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_93-113,
author = {Xingyong Zhang and Xianhua Tang},
title = {Periodic solutions for second-order Hamiltonian systems with a p-Laplacian},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {54},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_93-113}
}
Xingyong Zhang; Xianhua Tang. Periodic solutions for second-order Hamiltonian systems with a p-Laplacian. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_1_93-113/
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