| 一类二阶拟线性椭圆方程弱解的存在唯一性 |
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| 引用本文： | 肖翠娥.一类二阶拟线性椭圆方程弱解的存在唯一性[J].湖南城市学院学报(自然科学版),2008,17(4). |
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| 作者姓名： | 肖翠娥 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,长沙,410083;湖南城市学院,数学与计算科学系,湖南,益阳,413000 |
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| 基金项目： | 湖南省教育厅科研项目
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| 摘 要： | 利用单调算子理论和Sobolev嵌入定理，得到了一类二阶拟线性椭圆方程弱解的存在唯一性定理．
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| 关 键 词： | 拟线性椭圆方程 单调算子 弱解 存在性 唯一性 |
The Existence and Uniqueness of Weak Solution for a Second Order Quasi-linear Elliptic Equation |
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| XIAO Cui-e.The Existence and Uniqueness of Weak Solution for a Second Order Quasi-linear Elliptic Equation[J].Journal of Hunan City University:Natural Science,2008,17(4). |
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| Authors: | XIAO Cui-e |
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| Institution: | 1.School of Mathematical Sciences and Computing Technology;Central South University;Changsha;Hunan 410083;China;2.Department of Mathematics and Computation Sciences;Hunan City University;Yiyang;Hunan 413000;China |
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| Abstract: | This paper discusses a second order quasi-linear elliptic equation.Application of the theories of monotone operator and the Sobolev embedding theorem,we verify the existence and uniqueness of weak solution for the second order quasi-linear elliptic equation. |
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| Keywords: | Quasi-linear elliptic equation monotone operator weak solution existence uniqueness |
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