一类带p-Laplacian的Sturm-Liouville型四点边值问题多个正解的存在性  

Three Positive Solutions of a Kind of Sturm-Liouville Boundary Value Problem with one Dimensional p-Laplacian

作　　者：赵俊芳[1] 孙博[1] 葛渭高[1] 

机构地区：[1]北京理工大学理学院数学系,北京100081

出　　处：《数学的实践与认识》2008年第17期149-153,共5页Mathematics in Practice and Theory

基　　金：Supported by NNSF of P.R.China(No:10671012);the Doctoral Programme Foundation of Education Ministry of China(20050007011)

摘　　要：研究了一类带p-Laplacian的四点边值问题.通过运用锥上的不动点定理,我们得到了该类Sturm-Liouville型边值问题三个正解的存在性.We are concerned with a kind of four point boundary value problem with onedimensional p-Laplacian. By using a fixed point theorem in a cone, we obtain the existence of at least three positive solutions.

关 键 词：Sturm—Liouville型 正解 边值问题 不动点定理 p—Laplacian 

分 类 号：O175.8[理学—数学]