在区域Ω的边界是r-Poincaré厚条件下,利用r-Poincaré厚的Sobolev不等式和极大函数表示的有关Sobolev函数的逐点不等式,来构造全局的Lipschitz型检验函数,得到一类拟线性椭圆方程-divA(x,u,Du)=0的Krφ,θ-障碍问题很弱解的全局正则性.
Under the conditions that the boundary of region Ω is r-Poincaré thick,by using Sobolev inequality with r-Poincaré thick and pointwise inequality of Sobolev function in terms of maximum function to construct a global Lipschitz test function,we obtain global regularity result for very weak solutions of Krψ,θ-obstacle problems of a quasiregular elliptic equation -divA(x,u,Du)=0.