Existence of nonconstant periodic solutions for p(t) $p(t)$-Laplacian Hamiltonian system

Abstract

Abstract The purpose of this paper is to consider the existence of periodic solutions for the p(t) $p(t)$-Laplacian Hamiltonian system. Some results are obtained by using the least action principle and the minimax methods.

Keywords

• p ( t ) $p(t)$ -Laplacian
• Minimax principle
• Least action principle
• Periodic solution
• Critical point