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

• Autorzy: Xingyong Zhang , Xianhua Tang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2010
• Tom: 64
• Numer: 1

Daty

wydano

2010

online

2016-07-29

Twórcy

autor

Xingyong Zhang

autor

Xianhua Tang

Bibliografia

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Identyfikatory

DOI

10.17951/a.2010.54.1.93-113