Boundary regularity result for quasilinear elliptic systems

被引：0
|
作者：
Shuhong Chen
Zhong Tan
机构：
[1] Zhangzhou Normal University,Department of Mathematics and Information Science
[2] Xiamen University,School of Mathematical Science
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
quasilinear elliptic systems; controllable growth condition; A-harmonic approximation technique; boundary partial regularity;
D O I：
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摘要：
We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood 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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