| 一类拟线性椭圆方程的很弱解的唯一性 |
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| 引用本文： | 周树清,高红亚,朱焕然. 一类拟线性椭圆方程的很弱解的唯一性[J]. 数学年刊A辑(中文版), 2007, 0(1) |
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| 作者姓名： | 周树清 高红亚 朱焕然 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院，河北大学数学与计算机学院，湖南科技大学数学与计算机科学学院 湖南 湘潭411201 |
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| 基金项目： | 国家自然科学基金(No.10671064)，数学天元基金(No.A0324632)，湖南省教育厅科研基金(No．06C516)资助的项目． |
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| 摘 要： | 利用以极大函数表示的有关Sobolev函数的逐点不等式来构造全局的Lipschitz型检验函数,得到了,在一定条件下,拟线性椭圆方程-div A(x,u,Du)=f(x)在grand Sobolev空间W_0~(θ,p)(Ω)中的很弱解是唯一的．
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| 关 键 词： | 唯一性 p-Hardy区域 很弱解 Lipschitz连续 grand Sobolev空间 |
Uniqueness of Very Weak Solutions to a Class of Non-linear Elliptic Equations |
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| ZHOU Shuqing School of Mathematics and Computational Sciences,Hunan Normal University,Changsha ,China. GAO Hongya School of Mathematics and Computational Sciences,Hebei University,Baoding ,Hebei,China. ZHU Huanran School of Mathematics and Computational Sciences,Hunan University of Sciences and Technology,Xiangtan ,Hunan,China.. Uniqueness of Very Weak Solutions to a Class of Non-linear Elliptic Equations[J]. Chinese Annals of Mathematics, 2007, 0(1) |
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| Authors: | ZHOU Shuqing School of Mathematics Computational Sciences Hunan Normal University Changsha China. GAO Hongya School of Mathematics Computational Sciences Hebei University Baoding Hebei China. ZHU Huanran School of Mathematics Computational Sciences Hunan University of Sciences Technology Xiangtan Hunan China. |
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| Affiliation: | ZHOU Shuqing School of Mathematics and Computational Sciences,Hunan Normal University,Changsha 410081,China. GAO Hongya School of Mathematics and Computational Sciences,Hebei University,Baoding 071002,Hebei,China. ZHU Huanran School of Mathematics and Computational Sciences,Hunan University of Sciences and Technology,Xiangtan 411201,Hunan,China. |
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| Abstract: | |
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| Keywords: | Uniqueness p-Hardy domain Very weak solution Lipschitz continuous grand Sobolev space |
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