带p-Laplacian算子两点边值问题对称正解的存在性  

The existence of symmetric positive solutions for the p-Laplacian two-point boundary value problem

作　　者：朱忠才 ZHU Zhong-cai(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《佛山科学技术学院学报（自然科学版）》2018年第2期20-26,共7页Journal of Foshan University(Natural Science Edition)

摘　　要：通过不动点指数理论,得到了一类带p-Laplacian算子两点边值问题对称正解的存在性,以及这类边值问题至少存在一个或两个对称正解的充分条件。This paper deals with the existence of symmetric positive solutions for the p-Laplacian nonlinear two-point boundary value problem,by using the fixed-point index theorem.Sufficient conditions of the existence of at least one or two symmetric positive solutions of this problem are established,respectively.

关 键 词：P-LAPLACIAN算子 两点边值问题 不动点指数 对称正解 

分 类 号：O177[理学—数学]