| 引用本文: | 朱健民,唐照阳,黄建华.广义A-调和张量的反向H?lder型不等式.[J].国防科技大学学报,2012,34(5):164-168.[点击复制] |
| ZHU Jianmin,TANG Zhaoyang,HUANG Jianhua.The reverse H?lder type inequalities for generalized A-harmonic tensors[J].Journal of National University of Defense Technology,2012,34(5):164-168[点击复制] |
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| 广义A-调和张量的反向H?lder型不等式 |
| 朱健民, 唐照阳, 黄建华 |
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(国防科技大学 理学院,湖南 长沙 410073)
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| 摘要: |
| 基于微分形式A-调和方程的反向H?lder型不等式，是研究其解可积性的重要工具。本文将A-调和方程推广到拟线性方程的情形，在一定的条件下获得方程解的反向H?lder型不等式, 所得结果可以退化到经典的情形，为研究此类调和方程的正则性与可积性奠定了基础。 |
| 关键词: 微分形式 A-调和方程 反向H?lder不等式 |
| DOI： |
| 投稿日期：2012-03-09 |
| 基金项目: |
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| The reverse H?lder type inequalities for generalized A-harmonic tensors |
| ZHU Jianmin, TANG Zhaoyang, HUANG Jianhua |
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(College of Science, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The reverse H?lder type inequality for A-harmonic equations is a very important tool to discuss the integrability for solutions to these equations. In the present paper we dealt with a kind of generalized homogeneous A-harmonic equations formulated by d*A(x,κ(u－uΩ),du)=0.The reverse H?lder type inequality were established for the weak solution u of these equations, very similar to the traditional one. The results obtained here for the special cases of κ=0 can lead to the corresponding situation considered before now, which can be regarded as the foundation for studying the regularity and integrability to this kind of equations. |
| Keywords: differential forms A-harmonic equation reverse H?lder inequality |
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