| 一类具$p$-Laplace非线性三点边值问题三个正解的存在性 |
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| 引用本文： | 李相锋,徐宏武.一类具$p$-Laplace非线性三点边值问题三个正解的存在性[J].数学研究及应用,2009,29(3):507-516. |
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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;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基金(Nos.0710-04; 0810-03). |
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| 摘 要： | This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with p-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established
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| 关 键 词： | 非线性三点边值问题 Laplacian算子 正解 不动点定理 充分条件 奇异 |
| 收稿时间： | 4/3/2007 12:00:00 AM |
| 修稿时间： | 2007/10/30 0:00:00 |
The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with $p$-Laplacian |
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| LI Xiang Feng and XU Hong Wu.The Existence of Three Positive Solutions for a Class of Nonlinear Three-Point Boundary Value Problem with $p$-Laplacian[J].Journal of Mathematical Research with Applications,2009,29(3):507-516. |
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| Authors: | LI Xiang Feng and XU Hong Wu |
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| Institution: | Department of Mathematics, Longdong University, Gansu 745000, China;Department of Mathematics, Longdong University, Gansu 745000, China |
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| Abstract: | This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with $p$-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established. |
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| Keywords: | $p$-Laplacian operator positive solution three-point singular boundary value problem fixed-point theorem |
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