PARTIAL REGULARITY FOR WEAK SOLUTIONS OF QUASILINEAR ELLIPTIC SYSTEMS

作     者：严树森 李工宝 

作者机构：Wuhan Institute of Mathematical Sciences Academia Sinica Wuhan 430071 PRC 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1991年第36卷第9期

页      面：705-709页

核心收录：

学科分类：07[理学] 08[工学] 

主　　题：elliptic systems weak solution regularity. 

摘      要：In this note, we study the partial regularity for the weak solutions of the elliptic systems:Dα(Aαβij（x,u）Dβuj)=fi（x,u,Du）, x∈Ω,i=1,2,…,N, （1）where Ω is a bounded domain in Rn, n≥3 and N≥1. Here, the repeated Latin letters andrepeated Greek letters are summed from 1 to N and 1 to n respectively. We assume thefollowing conditions: