| A-调和方程弱解的新的加权积分不等式 |
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| 引用本文： | 佟玉霞,李颖,谷建涛.A-调和方程弱解的新的加权积分不等式[J].数学的实践与认识,2007,37(24):152-156. |
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| 作者姓名： | 佟玉霞 李颖 谷建涛 |
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| 作者单位： | 河北理工大学,理学院,河北,唐山,063009 |
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| 基金项目： | 河北省教育厅博士科研项目 |
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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.
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| 关 键 词： | A-调和方程 Arλ3(1λ 2λ Ω)-权 Caccioppoli型不等式 拟正则映射 |
| 修稿时间： | 2007年5月31日 |
New Two-Weight Integral Inequalities for Weak Solutions to A-harmonic Equation |
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| TONG Yu-xia,LI Ying,GU Jian-tao.New Two-Weight Integral Inequalities for Weak Solutions to A-harmonic Equation[J].Mathematics in Practice and Theory,2007,37(24):152-156. |
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| Authors: | TONG Yu-xia LI Ying GU Jian-tao |
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| Abstract: | A local Aλ3r(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. |
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| Keywords: | A-harmonic equation Aλ3r(λ1 λ2 Ω)-weight Caccioppoli-type inequality quasiregular mapping |
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