Multiple nontrivial solutions for a class of higher dimensional discrete boundary value problems

Abstract

In this paper, by using critical point theory, we prove the multiplicity of nontrivial solutions for higher dimensional discrete nonlinear boundary value problems. As special cases, our results improve the corresponding ones obtained in [G. Zhang, Z.L. Yang, Existence of 2 n nontrivial solution for discrete two-point boundary value problems, Nonlinear Anal. 59 (2004) 1181–1187].