| 一类p-Laplacian方程的可解性 |
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| 引用本文： | 余桂东,钟金标.一类p-Laplacian方程的可解性[J].合肥工业大学学报(自然科学版),2008,31(10). |
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| 作者姓名： | 余桂东 钟金标 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246011 |
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| 摘 要： | 文章研究了一类p-Laplacian方程边值问题正径向整体解的存在性和唯一性.首先利用隐函数定理证明了该问题局部解的存在唯一性,以及解对初值的连续依赖性,最后利用区间套定理证明了该问题存在唯一的正径向整体解.
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| 关 键 词： | p-Laplacian方程 正径向整体解 隐函数定理 |
Solvability of a certain p-Laplacian equation |
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| YU Gui-dong,ZHONG Jin-biao.Solvability of a certain p-Laplacian equation[J].Journal of Hefei University of Technology(Natural Science),2008,31(10). |
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| Authors: | YU Gui-dong ZHONG Jin-biao |
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| Abstract: | The paper studies the existence and uniqueness of the problem of positive radial solutions for a certain p-Laplacian equation.First,the existence and uniqueness of the positive local solution of the p-Laplacian equation are got by using the implicit function.Then,it is proved that the solution depends continuously on the initial data.The interval set theorem is applied to prove the existence and uniqueness of the positively global radial solution. |
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| Keywords: | p-Laplacian equation positive radial solution implicit function theorem |
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