Mixed type boundary-value problems of second-order differential systems with p-Laplacian

Abstract

In this article we show the existence of solutions to a mixed boundary-value problem of second-order differential systems with a p-Laplacian. The associated Hamiltonian actions are indefinite and the discussion of the existence of solutions is due to the application of duality principle.

Keywords

• Mixed boundary value problem
• p-Laplacian
• duality principle