Partial regularity for elliptic systems with VMO-coefficients

被引：0
|
作者：
Kanazawa, Taku [1 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
来源：
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2014年 / 5卷 / 02期
关键词：
Nonlinear elliptic systems; Partial regularity; VMO-coefficients; A-harmonic approximation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish partial Holder continuity for vector-valued solutions u: Omega -> R-N to inhomogeneous elliptic systems of the type: -div(A(x,u,Du)) =F(x,u,DU) in Omega, where the coefficients A: Omega x R(N)x Hom(R-n,R-N)-> Hom (R-n,R-N)-> Hom (R-n,R-N) are possibly discontinuous with respect to x. More precisely, we assume a VMO-condition with respect to the x and continuity with respect to uu and prove Holder continuity of the solutions outside of singular sets.
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页码：311 / 333
页数：23
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