具p-Laplace算子型边值问题解的存在性  

Existence of solution of boundary value problems with p-Laplace operator

作　　者：宗良[1] 贾梅[1] 王河堂[1] 戴忠华[1] 

机构地区：[1]上海理工大学 理学院,上海200093

出　　处：《上海理工大学学报》2008年第1期11-14,共4页Journal of University of Shanghai For Science and Technology

基　　金：上海市教委自然科学基金(05EZ52)

摘　　要：将具p-Laplace算子的边值问题转化成算子方程,对于p的不同取值给出适当的条件.利用Mawhin连续引理的推广形式,证明了一类具p-Laplace算子的微分方程边值问题解的存在性,得到了一系列解存在的充分条件.Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p, and using an extension of Mawhin＇s continuation theorem, the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

关 键 词：p—Laplace算子 边值问题 解 连续引理 存在性 

分 类 号：O175.8[理学—数学]