摘要
该文基于Hardy-Littewood极大函数有界性、Young函数的Jensen不等式和扰动法等技巧,获得了一类椭圆方程障碍问题弱解梯度在全空间上的全局BMO估计.
In this paper,the global BMO estimates for the gradient of weak solutions to a class of elliptic equation obstacle problems is considered by using the Hardy-Littlewood maximal functions,the Jensen inequality for Young function,the perturbation method and other techniques.
作者
佟玉霞
郭艳敏
谷建涛
Yuxia Tong;Yanmin Guo;Jiantao Gu(College of Science,North China University of Science and Technology,Hebei Tangshan 063210)
出处
《数学物理学报(A辑)》
CSCD
北大核心
2023年第1期159-168,共10页
Acta Mathematica Scientia
基金
河北省教育厅重点项目(ZD2022070)。
关键词
障碍问题
弱解
BMO估计
Obstacle problem
Weak solution
BMO estimation