The existence of regular boundary points for non-linear elliptic systems

被引：52

作者：

Duzaar, Frank

Kristensen, Jan

Mingione, Giuseppe

机构：

[1] Univ Erlangen Nurnberg, Math Inst, D-91054 Erlangen, Germany

[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England

[3] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2007年 / 602卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1515/CRELLE.2007.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider non-linear elliptic systems of the type -div a(x, u, Du) = 0, with Holder continuous dependence on (x, u), and give conditions guaranteeing that. Hn-1-almost every boundary point is a regular point for the gradient of solutions to related Dirichlet problems. We also introduce a new comparison technique, in order to deal with difference quotients.

引用

页码：17 / 58

页数：42

共 48 条

[1] REGULARITY FOR MINIMIZERS OF NON-QUADRATIC FUNCTIONALS - THE CASE 1-LESS-THAN-P-LESS-THAN-2 [J].