非齐次椭圆方程障碍问题的很弱解

Very Weak Solutions to Obstacle Problems of Nonmo Elliptic Equation

研究非齐次二阶拟线性散度型椭圆方程divA(x,u(x))=divF(x)的障碍问题的很弱解的性质,此方程需满足〈A(x,ξ),ξ〉≥α|ξ|p,A(x,ξ)≤β(|ξ|+k(x))p-1。

This paper studies the property of the very weak solutions to obstacle problems for weighted nonmo elliptic equation divA（ x, ↓△u（ x） ） = divF（ x） with conditons〈A（x,ξ）,ξ〉≥α｜ξ｜^p,A（x,ξ）≤β（｜ξ｜＋k（x））^p-1