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.
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页码：17 / 58
页数：42
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