| 基于非线性项变号的p-Laplacian方程两点边值问题正解的存在性 |
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| 引用本文： | 李相锋,徐宏武.基于非线性项变号的p-Laplacian方程两点边值问题正解的存在性[J].数学物理学报(A辑),2010,30(2):548-555. |
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| 作者姓名： | 李相锋 徐宏武 |
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| 作者单位： | 陇东学院数学系,甘肃庆阳,745000 |
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| 基金项目： | 甘肃省高校研究生导师科研项目 |
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| 摘 要： | 该文利用不动点指数理论,考虑了边值问题(BVP)(φ_p(u′(t)))′+a(t)f(t,u(t))=0,0t1,u′(0)=u(1)=0或u(0)=u(1)=0在非线性项f(t,u)可变号的情况下两个正解存在的充分条件,推广和改进了现有文献的结果.
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| 关 键 词： | p-Laplacian算子 不动点指数理论 正解 边值问题 |
| 收稿时间： | 2008-03-15 |
| 修稿时间： | 2009-05-08 |
Existence of Positive Solutions for Two-point Boundary Value Problem with p-Laplacian Based on Nonlinear Sign-changing Terms |
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| LI Xiang-Feng,XU Hong-Wu.Existence of Positive Solutions for Two-point Boundary Value Problem with p-Laplacian Based on Nonlinear Sign-changing Terms[J].Acta Mathematica Scientia,2010,30(2):548-555. |
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| Authors: | LI Xiang-Feng XU Hong-Wu |
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| Institution: | Department of Mathematics, Longdong University, Gansu Qingyang 745000 |
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| Abstract: | |
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| Keywords: | p-Laplacian operator Fixed point index theory Positive solutions Boundary value problem |
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