| Laxe-Milgram定理的一个非线性变体在椭圆型p-Laplace问题上的应用 |
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| 引用本文： | 朱云峰,吴鹏鹏,张凯强,丛肖汉. Laxe-Milgram定理的一个非线性变体在椭圆型p-Laplace问题上的应用[J]. 中国科技信息, 2011, 0(22): 62-63. DOI: 10.3969/j.issn.1001-8972.2011.22.023 |
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| 作者姓名： | 朱云峰 吴鹏鹏 张凯强 丛肖汉 |
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| 作者单位： | 东北电力大学理学院,吉林吉林,132012 |
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| 摘 要： | 许多物理学和工程学的问题中，它们的模型都是一些偏微分方程加上适当的边值条件和初始值条件，并且以等式形式出现。Lax-Milgram定理就是解决此类问题的一种方法，Lax--Milgram定理要求事先给定的空间是HiIbert空间，但在实际应用中并非都是Hilbert空间，而有一类问题要求事先给定的空间是自反的Banach空间，本文研究了Lax-Milgram定理的一个非线性变体在椭圆型p-Laplace问题上的应用。
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| 关 键 词： | 偏微分方程 Lax-Milgram定理 Banach空间 p-Lapiace问题 |
An Application of a Nonlinear Version of Lax-Milgram Theorem in p-Laplace Elliptic Problem |
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| Zhu Yunfeng,WuPengpeng,Zhang Kaiqiang,Cong Xiaohan Science College of Northeast Dianli University,Jilin City,Jilin Province. An Application of a Nonlinear Version of Lax-Milgram Theorem in p-Laplace Elliptic Problem[J]. CHINA SCIENCE AND TECHNOLOGY INFORMATION, 2011, 0(22): 62-63. DOI: 10.3969/j.issn.1001-8972.2011.22.023 |
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| Authors: | Zhu Yunfeng WuPengpeng Zhang Kaiqiang Cong Xiaohan Science College of Northeast Dianli University Jilin City Jilin Province |
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| Affiliation: | Zhu Yunfeng,WuPengpeng,Zhang Kaiqiang,Cong Xiaohan Science College of Northeast Dianli University,Jilin City,Jilin Province,132012 |
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| Abstract: | There are many problems in physics and engineering whose models can be expressed as partial differential equations with appropriate boundary conditions and initial conditions.Lax-Milgram theorem as one of the methods can solve the above problems.The Lax-Milgram theorem requests that the given space is Hilbert space,in practical applications many cases are not Hilbert space,while many problems request that the given space is the reflexive Banach space.This thesis studies an application of a nonlinear version... |
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| Keywords: | partial differential equations Lax-Milgram theorem Banach space p-Laplace problem |
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