含有p-Laplacian算子的四阶奇异边值问题正解的存在性  

Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator

作　　者：陈永鹏[1] 靳宝霞[1] 

机构地区：[1]广西工学院鹿山学院,柳州545616

出　　处：《应用泛函分析学报》2012年第2期147-156,共10页Acta Analysis Functionalis Applicata

摘　　要：研究了含p-Laplacian算子的奇异四阶四点边值问题,利用上下解方法与Schauder不动点定理,获得了至少一个C^3[0,1]正解的存在性结果.In this paper,we consider the existence of positive solutions for the singular fourth order four-point boundary value problem with p-Laplacian operator.By using the upper and lower solutions method,the existence of positive solution theorem for the boundary value problem is established.

关 键 词：P-LAPLACIAN算子 奇异 四阶四点边值问题 上下解 C^2[0 1]正解 

分 类 号：O175.4[理学—数学] O177.9[理学—基础数学]