广义A-调和张量的反向H?lder型不等式
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The reverse H?lder type inequalities for generalized  A-harmonic tensors
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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。

    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.

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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.
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.

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  • 收稿日期:2012-03-09
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  • 在线发布日期: 2012-11-05
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