Existence and subharmonicity of solutions for nonsmooth p-Laplacian systems

Abstract

In this paper we study nonlinear periodic systems driven by the vectorial p-Laplacian with a nonsmooth locally Lipschitz potential function. Using variational methods based on nonsmooth critical point theory, some existence of periodic and subharmonic results are obtained, which improve and extend related works.

Keywords

• p-laplacian
• locally lipschitz continuous
• nonsmooth saddle point theorem
• subharmonic solution
• periodic solution