带p-Laplacian算子四阶边值问题多重正解的存在性  

Existence of multiple positive solutions for fourth order boundary value problems with p-Laplacian

作　　者：钟文颖 宋常修[1] ZHONG Wen-ying;SONG Chang-xiu(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）》2020年第3期33-39,共7页Journal of Foshan University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(31670391)。

摘　　要：通过Leggett-Williams不动点定理,得到了一类四阶带p-laplacian算子的边值问题正解的存在性,以及此类边值问题至少存在两个或多个正解的充分条件。In this paper,by the Leggett-Williams fixed point theorem,we deal with the existence of positive solutions for the fourth-order boundary value problems with p-laplacian operators,and the sufficient conditions of the existence of at least two or more positive solutions for such boundary value problems are obtained.

关 键 词：STURM-LIOUVILLE边值问题 P-LAPLACIAN算子 不动点定理 

分 类 号：O175.8[理学—数学]