| A-调和方程很弱解的比较原理 |
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| 引用本文： | 史明宇,高红亚,宋迎清.A-调和方程很弱解的比较原理[J].数学年刊A辑(中文版),2010,31(1):91-98. |
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| 作者姓名： | 史明宇 高红亚 宋迎清 |
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| 作者单位： | 湖南大学数学与计量经济学院;河北大学数学与计算机学院;河北省数学研究中心;湖南城市学院数学系; |
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| 基金项目： | 河北省自然科学基金(No.07M003)资助的项目 |
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| 摘 要： | 应用McShane扩张定理证明了A-调和方程很弱解的比较原理.这个结果可以看作经典弱解比较原理的一个扩展.
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| 关 键 词： | A-调和方程 很弱解 比较原理 McShane扩张 逐点不等式 |
Comparison Principle for Very Weak Solutions to A-Harmonic Equation |
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| SHI Mingyu,GAO Hongya and SONG Yingqing.Comparison Principle for Very Weak Solutions to A-Harmonic Equation[J].Chinese Annals of Mathematics,2010,31(1):91-98. |
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| Authors: | SHI Mingyu GAO Hongya and SONG Yingqing |
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| Institution: | SHI Mingyu~1 GAO Hongya~2 SONG Yingqing~3 1 College of Mathematics , Econometrics,Hunan University,Changsha 410082,China. 2 College of Mathematics , Computer Science,Hebei University,Baoding 071002,Hebei,China,Hebei Provincial Center of Mathematics,Shijiazhuang 050016,China. 3 Depatment of Mathematics,Hunan City University,Yiyang 413000,Hunan,China. |
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| Abstract: | The comparison principle for very weak solutions to A-harmonic equation is obtained by using the McShane extension theorem,which can be seen as an extension to the classical results. |
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| Keywords: | A-harmonic equation Very weak solution Comparison principle McShane extension Point-wise inequality |
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