Opuscula Math. 34, no. 4 (2014), 683-690
Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian
Abstract. In this paper, we investigate the existence of constant-sign solutions for a nonlinear Neumann boundary value problem involving the discrete \(p\)-Laplacian. Our approach is based on an abstract local minimum theorem and truncation techniques.
Keywords: constant-sign solution, difference equations, Neumann problem.
Mathematics Subject Classification: 39A10, 39A12, 34B15.
- Received: 2014-02-01.
- Revised: 2014-07-15.
- Accepted: 2014-07-25.