Opuscula Math. 34, no. 4 (2014), 683-690
http://dx.doi.org/10.7494/OpMath.2014.34.4.683
Opuscula Mathematica
Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian
Pasquale Candito
Giuseppina D'Aguí
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.
- Pasquale Candito
- University of Reggio Calabria, Department DICEAM, Via Graziella (Feo Di Vito), 89122 Reggio Calabria, Italy
- Giuseppina D'Aguí
- University of Messina, Department of Civil, Computer, Construction, Environmental Engineering and Applied Mathematics, 98166 - Messina, Italy
- Received: 2014-02-01.
- Revised: 2014-07-15.
- Accepted: 2014-07-25.