应用数学2012，Vol.25Issue(4)：707-712,6.
一类椭圆型方程障碍问题很弱解的局部正则性
Local Regularity for Very Weak Solutions of Obstacle Problems to a Class of Elliptic Equation
摘要
Abstract
This paper study the very weak solutions of K(γ)(ψ),θ(Ω) -obstacle problems to a class of nonhomogeneous elliptic quation of second order - divA(x,u,Du) = B(x,u,Du) , We obtain a local regularity of very weak solutions of obstacle problems to the nonhomogeneous elliptic equation by using the method of Hodge decomposition and reverse Holder inequality. To obtain the local regularity,we apply Holder and Young ineuqalities twice for the same integrand since the growth exponents of B(x,u,Du) are subcrtical with respect to u and Du.关键词
障碍问题/很弱解/Hodge分解/局部正则性Key words
Obstacle problem/ Very weak solution/ Hodge decomposition/ Local regularity分类
数理科学引用本文复制引用
谢素英,许明雷,赵娜..一类椭圆型方程障碍问题很弱解的局部正则性[J].应用数学,2012,25(4):707-712,6.基金项目
国家自然科学基金项目(10871126,11171307) （10871126,11171307）
