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
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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