| 二阶非线性椭圆型复方程的间断边值问题 |
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| 引用本文： | 余磊.二阶非线性椭圆型复方程的间断边值问题[J].济南大学学报(自然科学版),2007,21(2):181-184. |
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| 作者姓名： | 余磊 |
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| 作者单位： | 中国人民大学,信息学院,北京,100872 |
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| 摘 要： | 讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。提出此边值问题的一种新的适定提法，并给出这种变态边值问题的先验估计式，然后使用上述解的估计与Schauder不动点原理，证明这种变态边值问题解的存在性，进而导出原边值问题的可解条件。
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| 关 键 词： | 间断边值问题 二阶非线性椭圆型方程 Schauder不动点原理 |
| 文章编号： | 1671-3559(2007)01-0181-00 |
| 修稿时间： | 2006年11月1日 |
Discontinuous Boundary Value Problem for Nonlinear Elliptic Complex Equations of Second Order |
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| YU Lei.Discontinuous Boundary Value Problem for Nonlinear Elliptic Complex Equations of Second Order[J].Journal of Jinan University(Science & Technology),2007,21(2):181-184. |
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| Authors: | YU Lei |
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| Abstract: | The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.Firstly,we bring up a modified boundary value problem,and give a priori estimates of it.Secondly,we use that estimates and Leray-Schauder theorem to prove the existence of the solutions of this modified boundary value problem.Finally,we find out the condition in which the original problem can be solved. |
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| Keywords: | the discontinuous boundary value problem nonlinear elliptic complex equations of second order leray-schauder theorem |
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