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

页码：133 / 156

页数：24

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