| 二阶拟线性椭圆型方程很弱解的唯一性 |
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| 引用本文： | 赵娜,谢素英.二阶拟线性椭圆型方程很弱解的唯一性[J].应用数学,2012,25(1):188-193. |
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| 作者姓名： | 赵娜 谢素英 |
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| 作者单位： | 杭州电子科技大学理学院数学系,浙江杭州,310018 |
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| 摘 要： | 本文讨论了一个二阶拟线性椭圆型方程的很弱解u∈Wl1o,cr(Ω)的唯一性,边界条件为很弱边值,即在Ω\E上取零边界值,而E是一个满足capt(E)=0的闭集.文中应用了Hodge分解的方法构造检验函数.
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| 关 键 词： | 很弱解 Hodge分解 唯一性 容量 |
Uniqueness of Very Weak Solutions to a Quasilinear Elliptic Equation of Second Order |
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| ZHAO Na
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XIE Suying.Uniqueness of Very Weak Solutions to a Quasilinear Elliptic Equation of Second Order[J].Mathematica Applicata,2012,25(1):188-193. |
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| Authors: | ZHAO Na XIE Suying |
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| Institution: | (Department of Mathematics,Sciences College,Hangzhou Dianzi University,Hangzhou 310018,China) |
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| Abstract: | In this paper,we study the uniquenss of very weak solution u∈W1,rloc(Ω) to a quasilinear elliptic equation of second order.The method of Hodge decomposition is applied to construct a proper test function,the boundary conditions is very weak boundary value,that is,these take zero boundary values on Ω\E,where E is a closed set with capt(E)=0. |
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| Keywords: | Very weak solution Hodge decomposition Uniqueness Capacity |
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