Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

被引：0
|
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：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
BOUNDARY-REGULARITY; OPTIMAL INTERIOR; MINIMIZERS;
D O I：
10.1155/2013/676215
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 natural growth condition with super quadratic growth 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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页数：8
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