Boundary regularity for quasilinear elliptic systems

被引：19

作者：

Grotowski, JF ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Math, D-91054 Erlangen, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 27卷 / 11-12期

关键词：

nonlinear elliptic systems; divergence form; partial regularity; boundary regularity;

D O I：

10.1081/PDE-120016165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.

引用

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页码：2491 / 2512

页数：22

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