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

Annales UMCS, Mathematica (2010)

- Volume: 64, Issue: 1, page 93-113
- ISSN: 2083-7402

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topXianhua Tang, and Xingyong Zhang. " Periodic solutions for second-order Hamiltonian systems with a p -Laplacian ." Annales UMCS, Mathematica 64.1 (2010): 93-113. <http://eudml.org/doc/267551>.

@article{XianhuaTang2010,

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.},

author = {Xianhua Tang, Xingyong Zhang},

journal = {Annales UMCS, Mathematica},

keywords = {Second-order Hamiltonian systems; p-Laplacian; periodic solution; Sobolev's inequality; Wirtinger's inequality; the least action principle; second-order Hamiltonian systems; -Laplacian; least action principle},

language = {eng},

number = {1},

pages = {93-113},

title = { Periodic solutions for second-order Hamiltonian systems with a p -Laplacian },

url = {http://eudml.org/doc/267551},

volume = {64},

year = {2010},

}

TY - JOUR

AU - Xianhua Tang

AU - Xingyong Zhang

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

JO - Annales UMCS, Mathematica

PY - 2010

VL - 64

IS - 1

SP - 93

EP - 113

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/267551

ER -

## References

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