Nonexistence and existence results for a 2$n$th-order $p$-Laplacian discrete Neumann boundary value problem

Abstract

This paper is concerned with a 2nth-order p-Laplacian difference equation. By using the <br />critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problem and give some new results. Results obtained successfully generalize and complement the existing ones.