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

doi:10.1016/S0252-9602(14)60081-3

摘要/Abstract

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 and μ in some suitable intervals. The approaches we use are the critical point theory.

关键词: discrete periodic boundary value problem, p-Laplacian, multiparameter, three solutions, critical point theory

Abstract:

Key words: discrete periodic boundary value problem, p-Laplacian, multiparameter, three solutions, critical point theory

中图分类号:

39A23

高承华. SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY[J]. 数学物理学报(英文版), 2014, 34(4): 1225-1236.

GAO Cheng-Hua. SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY[J]. Acta mathematica scientia,Series B, 2014, 34(4): 1225-1236.

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