| 退化线性椭圆方程非常弱解的存在唯一性 |
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| 引用本文： | 晏华辉,顾广泽. 退化线性椭圆方程非常弱解的存在唯一性[J]. 湖南大学学报(自然科学版), 2014, 41(7): 122-124 |
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| 作者姓名： | 晏华辉 顾广泽 |
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| 作者单位： | (湖南大学 数学与计量经济学院, 湖南 长沙410082) |
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| 基金项目： | 国家自然科学青年基金资助项目(751203058) |
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| 摘 要： | 定义了在所谓的具有一片平的边界的有界光滑区域内退化线性椭圆的非常弱解的概念,然后利用变法方法与退化椭圆方程的极值原理等证明了该问题非常弱解的存在唯一性结果.
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| 关 键 词： | 存在性 唯一性 非常弱解 退化椭圆方程 |
Existence and Uniqueness of Very Weak Solutions to Degenerate Linear Elliptic Equations |
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| YAN Hua-hui,GU Guang-ze. Existence and Uniqueness of Very Weak Solutions to Degenerate Linear Elliptic Equations[J]. Journal of Hunan University(Naturnal Science), 2014, 41(7): 122-124 |
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| Authors: | YAN Hua-hui GU Guang-ze |
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| Affiliation: | (College of Mathematics and Econometrics, Hunan Univ ,Changsha, Hunan410082, China) |
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| Abstract: | In this paper, we first defined the very weak solutions to degenerate elliptic equations in a bounded smooth domain with a flat boundary piece. Then, we obtained the existence and uniqueness to such very weak solutions by applying variational method and maximum principle of degenerate elliptic equations. |
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| Keywords: | existence uniqueness very weak solutions degenerate elliptic equations |
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