A-调和方程障碍问题的很弱解

Very Weak Solutions for Obstacle Problems of A -Harmonic Equation

中文关键词:  A-调和方程  障碍问题  很弱解  Hodge分解  逆Holder不等式

英文关键词:A-harmonic equation  obstacle probleml  very weak solution  Hodge decomposition  reverse Holder inequality.

中文摘要:

      本文给出A-调和方程障碍问题很弱解的定义.使用Hodge分解等工具,得到其局部与整体高阶可积性.

英文摘要:

      This paper gives the definition of very weak solutions for obstacle problems of A-harmonic equation. The local and global higher integrability results are obtained by using the technique of Hodge decomposition. These extend the results of [1].