Subharmonic solutions for non-autonomous second-order sublinear Hamiltonian systems with p-Laplacian

Abstract

In this article, we study the existence of subharmonic solutions to the non-autonomous second-order sublinear Hamiltonian systems with p-Laplacian. Introducing some kinds of control functions, infinitely many subharmonic solutions are obtained by using the minimax methods in critical point theory. We point out that our results are new even in the case p=2.

Keywords

• Control functions
• subharmonic solutions
• p-Laplacian systems
• minimax methods