Opuscula Math. 34, no. 4 (2014), 683-690
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.
About the authors ▼
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
About the article ▼
Received: 2014-02-01.
Revised: 2014-07-15.
Accepted: 2014-07-25.
Cite this article as ▼
Pasquale Candito, Giuseppina D'Aguí, Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian, Opuscula Math. 34, no. 4 (2014), 683-690,
http://dx.doi.org/10.7494/OpMath.2014.34.4.683.
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