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

作者：Jiang, Liqun^*; Zhou, Zhan

来源：Applied Mathematics and Computation, 2008, 203(1): 30-38.

DOI：10.1016/j.amc.2007.12.014

• multiple nontrivial solutions
• discrete
• nonlinear boundary value problem
• critical point theory

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].

• 出版日期2008-9-1
• 单位广州大学; 吉首大学; 湖南大学