On nonsmooth Hamiltonian systems

Abstract

In this paper, and by using a new variant of the standard theorem ([8], Theorem 1.1), we prove the existence of infinitely many homoclinic solutions for a new class of partial differential equations known as the nonsmooth second-order Hamiltonian systems.

Subject Classification:

• 35J20
• 35J60

Keywords:

• Clark's theorem
• Critical point theory
• Variational methods
• Nonsmooth Hamiltonian systems