Existence and nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem

摘要

In this paper 2n-th order p-Laplacian difference equations are considered. Using the critical point method, we establish various sufficient conditions for the existence and nonexistence of solutions for Dirichlet boundary value problem. Recent results in the literature are generalized and significantly complemented, as well as, some new results are obtained.

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