Existence and multiplicity of solutions of second-order discrete Neumann problem with singular ϕ-Laplacian operator

Abstract

In this paper, we obtain the existence and multiplicity of solutions for discrete Neumann boundary value problem with singular φ-Laplacian operatorby using upper and lower solutions method and Brouwer degree theory, where κ > 0 is a constant, r = (r 2 , . . . , r N-1 ) ∈ R N-2 , and f is a continuous function. We also give some examples to illustrate the main results. MSC: 34B10; 34B18