广义A-调和张量的反向Hlder型不等式

The reverse Hlder type inequalities for generalized A-harmonic tensors

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。

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.