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一维p-Laplacian算子型奇异边值问题可数多正解的存在性
引用本文:姜燕君,张才仙,胡凤珠.一维p-Laplacian算子型奇异边值问题可数多正解的存在性[J].烟台师范学院学报(自然科学版),2006,22(4):279-282.
作者姓名:姜燕君  张才仙  胡凤珠
作者单位:鲁东大学数学与信息科学学院,山东烟台264025
摘    要:讨论了一类p-Laplaeian型算子的奇异边值问题正解的存在性.通过使用不动点指数定理,得到了这类边值问题可数多正解存在的充分条件.

关 键 词:p-Laplacian算子  不动点指数  
文章编号:1673-8020(2006)04-0279-04
收稿时间:2005-12-20

The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator
JIANG Yan-jun,ZHANG Cai-xian, HU Feng-zhu.The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator[J].Yantai Teachers University journal(Natural Science Edition),2006,22(4):279-282.
Authors:JIANG Yan-jun  ZHANG Cai-xian  HU Feng-zhu
Abstract:The existence of positive solutions to a singular boundary value problem for a kind of p- Laplacian type operator is discussed. According to the fixed-point index theory, the sufficient conditions that this kind of boundary value problem has countably many positive solutions are obtained.
Keywords:p-Laplacian  fixed point index  cone
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