REGULARITY FOR CERTAIN QUASILINEAR ELLIPTIC SYSTEMS OF DIVERGENCE STRUCTURE  

作　　者：周树清 冉启康 

出　　处：《Acta Mathematica Scientia》2001年第2期196-202,共7页数学物理学报（B辑英文版）

基　　金：Supported by NNSF of China (19531060) ;by the National Educational Committee's Doctor Program Funds of China (97024811).

摘　　要：The regularity of the gradient of Holder continuous solutions of quasi-linear elliptic systems of the form -Dj(aij(x,u,Du)Diuk)=-Difki=gk is investigated. Partial regularity and ε-regularity are shown to hold under the structural assumption -Dj(aij(x,u,Du))=hi∈L∞The regularity of the gradient of Holder continuous solutions of quasi-linear elliptic systems of the form -Dj(aij(x,u,Du)Diuk)=-Difki=gk is investigated. Partial regularity and ε-regularity are shown to hold under the structural assumption -Dj(aij(x,u,Du))=hi∈L∞

关 键 词：Partial regulrity ε-regularity and elliptic systems 

分 类 号：O175[理学—数学]