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

作　　者：高承华 

机构地区：[1]Department of Mathematics,Northwest Normal University

出　　处：《Acta Mathematica Scientia》2014年第4期1225-1236,共12页数学物理学报（B辑英文版）

基　　金：Supported by NSFC(11326127,11101335);NWNULKQN-11-23;the Fundamental Research Funds for the Gansu Universities

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 [C. 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.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 [C. 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.

关 键 词：discrete periodic boundary value problem P-LAPLACIAN MULTIPARAMETER three solutions critical point theory 

分 类 号：O175.8[理学—数学]