| 各向异性椭圆方程障碍问题弱解的拟最小化性质 |
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| 引用本文： | 廖敏,谢素英.各向异性椭圆方程障碍问题弱解的拟最小化性质[J].杭州电子科技大学学报,2014(4):49-51. |
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| 作者姓名： | 廖敏 谢素英 |
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| 作者单位： | 杭州电子科技大学应用数学与工程计算研究所,浙江杭州310018 |
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| 摘 要： | 拟最小化性质是研究椭圆方程弱解的重要工具。该文研究了各向异性的A-调和方程-divA(x,Du)=0障碍问题的弱解,使用了Hlder不等式,Young不等式以及一些基本不等式,完成了各向异性情形下弱解的积分估计,得到了各向异性障碍问题弱解的拟最小化性质。
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| 关 键 词： | 各向异性 障碍问题 弱解 拟最小化性质 |
Quasiminimization Property for Weak Solutions of Obstacle Problems of Anisotropic Elliptic Equations |
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| Liao Min,Xie Suying.Quasiminimization Property for Weak Solutions of Obstacle Problems of Anisotropic Elliptic Equations[J].Journal of Hangzhou Dianzi University,2014(4):49-51. |
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| Authors: | Liao Min Xie Suying |
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| Affiliation: | (Institute of Applied Mathematics and Engineering Computations, Hangzhou Diaazi University, Hangzhou Zhejiang 310018, China) |
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| Abstract: | Quasiminimization property is an important tool to study weak solutions of elliptic equations. This paper deals with weak solutions of anisotropic obstacle problems for A-harmonic equation-divA （ x, Du） = 0, a property of quasiminimization of weak solutions is obtained. In order to estimate the integral of weak solutions in anisotropic case, it applies Holder inequality and Young inequality as well as some basic inequalities. |
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| Keywords: | anisotropic obstacle problem weak solution quasiminimization |
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