全文下载：2013010092
曹红妍
(青岛科技大学 数理学院, 山东 青岛 266061)
摘要: 利用一个特殊的锥和不动点指数定理,研究了实空间中一类p-Laplace算子三点奇异边值问题对称正解的存在性，分别得到了这类边值问题至少存在一组或两组对称正解的充分条件。
关键词: p-Laplace算子; 对称正解；锥；不动点定理；三点边值问题
中图分类号: O 175.8, O 175.15 文献标志码： A
Symmetric Positive Solutions for Three-Point Singular Boundary Value Problems with p-Laplace Operator
CAO Hong-yan
(CollegeofMathematicsand Physics,QingdaoUniversityof Science and Technology,Qingdao,266061,China)
Abstract： In this paper ,by constructing a special cone and the fixed point index theorem, we investigate the existence of symmetric positive solution of a class of nonlinear singular boundary value problems with p-Laplace operator,and establish some sufficient conditions for the existence of symmetric positive solutions.
Key words：p-Laplace operator; symmetric positive solution; cone; fixed point theorem； singular boundary value problem
收稿日期：2012-03-28
作者简介： 曹红妍(1969—),女，讲师.
