摘要
本文研究了非齐次椭圆方程的障碍问题,给出了二阶非齐次障碍问题解的定义,利用Poincar啨不等式,获得非齐次障碍问题的解及其导数的一些性质,填补了对非齐次障碍问题研究的空白.
This text studies the obstacle problems associated with nonhomogeneous elliptic equation, gives the definition of solutions of second order degenerate nonhomogeneous obstacle problems, and making use of the Poincaré inequality and others,acquire some properties of these solutions and their lead number,filling up the blank of an nonhomogeneous obstacle problem research.
出处
《数学杂志》
CSCD
北大核心
2006年第5期501-508,共8页
Journal of Mathematics
基金
Research supported by National Natural Science Foundation of China ( No :10471149) , Mathematics Tian Yuan Youth Foundation ( A0324610) and the Doctoral Foundation of the Depart ment of Education of Hebei Province (B2004103) .
关键词
障碍问题
椭圆方程
非齐次
高阶可积性
obstacle problem
elliptic equation
nonhomogeneous
high integrability
