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.
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页码：2491 / 2512
页数：22
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