On the solvability of discrete nonlinear Neumann problems involving the <it>p</it>(<it>x</it>)-Laplacian

Abstract

Abstract In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.

Keywords

• Discrete boundary value problem
• critical point
• weak solution
• electrorheological fluids