一类障碍系统弱解的局部与全局高阶可积性

Local and Global Higher Integrability of Weak Solutions to a Class of Obstacle Systems

本文讨论了一类偏微分方程的障碍系统,,通过构造特殊的检验函数并利用逆Hölder不等式,得到了系统的弱解的局部和全局高阶可积性,从而把有关障碍问题的一些结果推广到障碍系统 。

This paper introduces obstacle systems for a class of quasilinear elliptic partial differential systems and obtains the local and global higher integrability of weak solutions to the obstacle systems by constructing special test functions and using Inverse Hölder’s Inequality. The results generalize some known results for obstacle problems to obstacle systems .