The Method of A-Harmonic Approximation and Boundary Regularity for Nonlinear Elliptic Systems under the Natural Growth Condition

被引：3
|
作者：
Chen, Shu Hong [1 ]
Tan, Zhong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 01期
关键词：
nonlinear elliptic systems; natural growth condition; A-harmonic approximation technique; boundary partial regularity; INTERIOR PARTIAL REGULARITY; CONTROLLABLE GROWTH; VARIATIONAL INTEGRALS; MINIMIZERS; MAPS;
D O I：
10.1007/s10114-008-6005-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the questions of boundary regularity for weak solutions of second-order nonlinear elliptic systems under the natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. The proof yields directly the optimal regularity for the solution in this neighborhood. This result is new for the situation under the natural growth conditions.
引用
收藏
页码：133 / 156
页数：24
相关论文
共 50 条
12345