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奇异一维p-Laplacian方程多点边值问题正解的存在性
引用本文:马德香,葛渭高.奇异一维p-Laplacian方程多点边值问题正解的存在性[J].数学学报,2005,48(6).
作者姓名:马德香  葛渭高
作者单位:北京理工大学应用数学系,北京理工大学教学系 北京 100081 山东科技大学信息学院 青岛 266510,北京 100081
基金项目:国家自然科学基金(10371006)
摘    要:本文研究具有p-Laplacian算子的奇异多点边值问题正解的存在性,其中f(t,u)可以在u=0奇异,q(t)可以在t=0或t=1奇异。

关 键 词:奇异  正解  p-Laplacian方程

The Existence of Positive Solution of Multi-Point Boundary Value Problem for the One-Dimensional p-Laplacian with Singularities
De Xiang MA.The Existence of Positive Solution of Multi-Point Boundary Value Problem for the One-Dimensional p-Laplacian with Singularities[J].Acta Mathematica Sinica,2005,48(6).
Authors:De Xiang MA
Institution:De Xiang MA Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China The College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P. R. China Wei Gao GE Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China
Abstract:In this paper, we get positive solutions of the following nonlinear multi-point singular boundary value problem with p-Laplaeian operator where f(t, u) may be singular at u=0 and q(t) may be singular at t=0 or t=1.
Keywords:Singularity  Positive solution  p-Laplacian equation
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