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p-Laplacian算子m-点奇异边值问题的正解
引用本文:郑立,郝新安,翟祥傺.p-Laplacian算子m-点奇异边值问题的正解[J].曲阜师范大学学报,2009,35(2):52-56.
作者姓名:郑立  郝新安  翟祥傺
作者单位:郑立,ZHENG Li(山东省贸易职工大学基础部,272017,济宁市);郝新安,HAO Xin-an(曲阜师范大学数学科学学院,273165,曲阜市);翟祥傺,ZHAI Xiang-chi(枣庄科技职业学院机械工程系,277500,山东省滕州市)  
摘    要:运用锥拉伸压缩不动点定理,讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性,推广和包含了一些已知的结果.

关 键 词:p-Laplacian算子  m-点奇异边值问题    正解  不动点

Positive Solution of Singular m-point Boundary Value Problems with p-Laplacian Operator
ZHENG Li,HAO Xin-an,ZHAI Xiang-chi.Positive Solution of Singular m-point Boundary Value Problems with p-Laplacian Operator[J].Journal of Qufu Normal University(Natural Science),2009,35(2):52-56.
Authors:ZHENG Li  HAO Xin-an  ZHAI Xiang-chi
Institution:ZHENG Li, HAO Xin-an, ZHAI Xiang-chi (1. Department of Fundamental Courses, Shandong Vocational and Trade College, 272017, Jining; 2. School of Mathematical Sciences, Qufu Normal University, 273165, Qufu; 3. Department of Machanical Engineer, Zaozhuang Vocational College of Science and Technology, 277500, Tengzhou, Shandong, PRC)
Abstract:This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone. Our results generalize and include some known results.
Keywords:p-Laplacian operator  m-point singular boundary value problem  Cone  Positive solution  Fixed-point  
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