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A-调和方程弱解的新的加权积分不等式

New Two-Weight Integral Inequalities for Weak Solutions to A-harmonic Equation
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摘要 研究形如div A(x,u(x))=0的A-调和方程,证明其弱解满足局部Arλ3(λ1,λ2,Ω)-权Caccioppoli型不等式,这可看作A-调和方程相应结果的推广.最后给出上述结果在拟正则映射中的应用. A local Ar^λ3（λ1,λ2,Ω）-weight Caccioppoli-type Inequality for weak solutions to A-harmonic equation has been established. For the A-harmonic equation div A （x,△↓u（x）） = 0. It can be regarded＇ as generalizations of the classical results. Finally, this paper give some applications of the above results to quasiregular mappings.
作者 佟玉霞 李颖 谷建涛
机构地区 河北理工大学理学院
出处 《数学的实践与认识》 CSCD 北大核心 2007年第24期152-156,共5页 Mathematics in Practice and Theory
基金 河北省教育厅博士基金资助项目(B2004103)
关键词 A-调和方程 Ar^λ3(λ1 λ2 Ω)-权 Caccioppoli型不等式 拟正则映射 A-harmonic equation Ar^λ3（λ1,λ2,Ω）-weight Caccioppoli-type inequality quasiregular mapping
分类号 O178 [理学—基础数学]
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参考文献10

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二级参考文献9

  • 1Martio O.Partial differential equations and quasiregular mappings[J].Lecture Notes in Mathematics,Springers-Verlag,1992,1508:65-79.
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  • 9高红亚.弱拟正则映射的若干性质[J].数学学报（中文版）,2002,45(1):191-196. 被引量：6

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数学的实践与认识
2007年 第24期

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