Boundary regularity result for quasilinear elliptic systems

被引：3

作者：

Chen, Shuhong ^{[1
]}

Tan, Zhong ^{[2
]}

机构：

[1] Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Fujian, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

quasilinear elliptic systems; controllable growth condition; A-harmonic approximation technique; boundary partial regularity; OPTIMAL INTERIOR; SINGULAR SET; MINIMA;

D O I：

10.1186/1029-242X-2012-102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：11

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