p-Laplace算子方程三点边值问题单调正解的存在性  

Existence of Monotone Positive Solutions to a Type of Three-point Boundary Value Problem with p-Laplacian Operator

作　　者：刘锡平[1] 贾梅[1] 葛渭高[2] 

机构地区：[1]上海理工大学理学院,上海200093 [2]北京理工大学应用数学系,北京100081

出　　处：《吉林大学学报（理学版）》2007年第1期49-55,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10371006);上海市教委自然科学基金(批准号:05EZ52)

摘　　要：利用锥拉伸与锥压缩不动点定理,研究一类具p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性,给出了单调正解存在的充分条件,并确定了解曲线的凹凸性.This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator. On the basis of the fixed point theorem on cone, sufficient conditions for the existence of monotone positive solutions are given to the boundary value problems with homogeneous and nonhomogeneous boundary conditions, respectively, and the convexity of solution curves is decided.

关 键 词：P-LAPLACE算子 三点边值问题 锥拉伸与锥压缩不动点定理 单调正解 

分 类 号：O175.8[理学—数学]