Open Access
august 2011 Subharmonic solutions for some nonautonomous Hamiltonian systems with $p(t)$-Laplacian
Liang Zhang, X. H. Tang
Bull. Belg. Math. Soc. Simon Stevin 18(3): 385-400 (august 2011). DOI: 10.36045/bbms/1313604446

Abstract

In this paper, we deal with the existence of subharmonic solutions for the $p(t)$-Laplacian Hamiltonian system. Some new existence theorems are obtained by using minimax methods in critical point theory, and our results generalize and improve some existence theorems.

Citation

Download Citation

Liang Zhang. X. H. Tang. "Subharmonic solutions for some nonautonomous Hamiltonian systems with $p(t)$-Laplacian." Bull. Belg. Math. Soc. Simon Stevin 18 (3) 385 - 400, august 2011. https://doi.org/10.36045/bbms/1313604446

Information

Published: august 2011
First available in Project Euclid: 17 August 2011

zbMATH: 1225.37073
MathSciNet: MR2883136
Digital Object Identifier: 10.36045/bbms/1313604446

Subjects:
Primary: 34C25 , 35A15

Keywords: $p(t)$-Laplacian systems , (PS) condition , Hamiltonian systems , Saddle point theorem , Subharmonic solutions

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 3 • august 2011
Back to Top