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.

引用

页码：311 / 333

页数：23

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