Weak solutions to Neumann discrete nonlinear system of Kirchhoff type

Abstract

We prove the existence of weak solutions for discrete nonlinear system of Kirchhoff type. We build some Hilbert spaces with suitable norms. We define the notion of weak solution corresponding to the problem (1.1). The proof of the main result is based on a minimization method of an energy functional J.

Keywords

• nonlinear difference equations
• anisotropic nonlinear discrete systems
• minimization methods
• weak solutions