SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY

被引：0
作者：
高承华 [1 ]
机构：
[1] Department of Mathematics,Northwest Normal University
来源：
Acta Mathematica Scientia | 2014年 / 34卷 / 04期
关键词：
discrete periodic boundary value problem; p-Laplacian; multiparameter; three solutions; critical point theory;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [G. Bonanno and P. Candito, Appl.Anal., 88(4)(2009), pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory.
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页码：1225 / 1236
页数：12
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    郝兆才
    [J]. 数学物理学报, 2001, (02) : 225 - 229
  • [3] Three solutions for a discrete nonlinear Neumann problem involving the p-Laplacian .2 Candito P,D′Agu’’G. Adv Differ Equ . 2010
  • [4] Multiple positive solutions of singular discrete $p$-Laplacian problems via variational methods .2 Ravi P. Agarwal,Kanishka Perera,Donal O’Regan. Adv. Difference Equ . 2005
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