一类p-Laplacian方程四点边值问题正解的存在性  

Existence of Positive Solutions for Four-Point Boundary Value Problem of p-Laplacian Equations

作　　者：纪德红[1] 葛渭高[1] 

机构地区：[1]北京理工大学应用数学系,北京100081

出　　处：《数学的实践与认识》2007年第19期168-172,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(10671012);教育部博士点专项基金(20050007011)

摘　　要：利用范数形式的锥拉伸与压缩不动点定理,讨论了一类p-Laplacian方程四点边值问题,获得了正解的存在性定理.The existence of positive solutions for four--point boundary value problems of p- Laplacian equations is studied by using the fixed-point theorem of cone expansion-compression type with norm. Several sufficient conditions are established.

关 键 词：正解 P-LAPLACIAN算子 不动点定理 锥 

分 类 号：O175.8[理学—数学]