P-laplace方程边值问题正解的存在性  

The Existence of Positive Solutions for a P-laplace Equation Boundary Value Problem

作　　者：孟宪瑞[1] 张硕[2] 刘秋梅[1] 

机构地区：[1]河北理工大学理学院,河北唐山063009 [2]天津师范大学津沽学院,天津300387

出　　处：《湖北民族学院学报（自然科学版）》2009年第2期182-186,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：河北理工大学科学研究基金资助(z0819)

摘　　要：研究带边值条件的P-Laplace方程组正解的存在性,主要是将所研究的边值问题转换成等价的积分方程,通过积分方程定义算子,利用范数形式的锥压缩与锥拉伸不动点定理得到算子的不动点,从而得到边值问题正解的存在性.In this paper, the existence of a positive solution for a P - laplace equation group with boundary value condition is investigated. An integral equation equivalent to the boundary value problem is constructed. An operator is defined through the integral equation. A fixed point of the operator is obtained by fixed point theorem of cone expansion and compression of norm type. Thus the existence of positive solutions of boundary value problems is proved.

关 键 词：锥 不动点 算子 

分 类 号：O175.8[理学—数学]