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
DOI: 10.12677/PM.2013.33032, PDF, HTML, 下载: 3,130  浏览: 7,386  国家自然科学基金支持
作者: 周树清*：湖南师范大学数学与计算机科学学院；胡振华：湖南城市学院
关键词: 局部可积性；全局可积性；障碍系统；逆H?lder不等式；Local Integrability; Global Integrability; Obstacle Systems; Inverse H?lder’s Inequality
摘要: 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 。
Abstract: 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 .
文章引用：周树清, 胡振华. 一类障碍系统弱解的局部与全局高阶可积性[J]. 理论数学, 2013, 3(3): 215-222. http://dx.doi.org/10.12677/PM.2013.33032

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