纺织高校基础科学学报2011，Vol.24Issue(3)：373-376,381,5.
由Baouendi-Grushin向量场构成的退化椭圆方程组弱解梯度的Lp估计
Lp estimates for gradients of weak solutions to degenerate elliptic systems constituted by Baouendi-Grushin vector fields
董艳 1钮鹏程1
作者信息
- 1. 西北工业大学应用数学系,陕西西安710129
- 折叠
摘要
Abstract
A class of degenerate elliptic systems related to Baouendi-Grushin vector fields are studied when the coefficients are discontinuous. By establishing a Caccioppoli inequality and using the reverse Holder inequality, the Lp estimates for the gradients of weak solutions to the system are obtained and the regularity of the weak solution is lifted.关键词
退化椭圆方程组/Baouendi-Grushin向量场/VMO函数/Lp估计Key words
degenerate elliptic systems/ Baouendi-Grushin vector fields/ VMO function/ II estimate分类
数理科学引用本文复制引用
董艳,钮鹏程..由Baouendi-Grushin向量场构成的退化椭圆方程组弱解梯度的Lp估计[J].纺织高校基础科学学报,2011,24(3):373-376,381,5.
