Boundary regularity for elliptic systems under a natural growth condition

被引：3

作者：

Beck, Lisa ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, Pisa, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2011年 / 190卷 / 04期

关键词：

Regularity theory for elliptic systems; Dimension reduction; Existence of regular boundary points; SINGULAR SET; EVERYWHERE-REGULARITY; WEAK SOLUTIONS; FUNCTIONALS; MINIMIZERS;

D O I：

10.1007/s10231-010-0163-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider weak solutions u is an element of u(0) + W-0(1,2) (Omega, R-N) boolean AND L-infinity (Omega, R-N) of second-order nonlinear elliptic systems of the type -div a (. , u, Du) = (. , u, Du) in Omega with an inhomogeneity satisfying a natural growth condition. In dimensions n is an element of {2, 3, 4}, we show that Hn-1-almost every boundary point is a regular point for Du, provided that the boundary data and the coefficients are sufficiently smooth.

引用

页码：553 / 588

页数：36

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