椭圆方程障碍问题很弱解的全局正则性  

Global Regularity for Very Weak Solutions of Obstacle Problems of Elliptic Equation

作　　者：谢素英[1] 李松[1] 

机构地区：[1]杭州电子科技大学理学院数学系,浙江杭州310018

出　　处：《应用数学》2013年第2期346-354,共9页Mathematica Applicata

基　　金：国家自然科学基金项目(11171307)

摘　　要：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.

关 键 词：很弱解 r-Poincaré厚 障碍问题 SOBOLEV不等式 全局正则性 

分 类 号：O175.25[理学—数学]