BOUNDARY PARTIAL HOLDER REGULARITY FOR ELLIPTIC SYSTEMS WITH NON-STANDARD GROWTH

被引：0

作者：

Ok, Jihoon ^{[1
,2
]}

机构：

[1] Kyung Hee Univ, Dept Appl Math, Yongin 17104, South Korea

[2] Kyung Hee Univ, Inst Nat Sci, Yongin 17104, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Partial regularity; boundary regularity; elliptic system; non-standard growth; QUASI-CONVEX FUNCTIONALS; WEAK SOLUTIONS; SINGULAR SET; MINIMIZERS; CONTINUITY; EXISTENCE; EQUATIONS; CALCULUS; MINIMA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate regular points on the boundaries of elliptic systems with non-standard growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is a point for which a weak solution to a system is Holder continuous in a neighborhood. Here, we assume that the boundary of a domain and the boundary data are C-1, and that a system has VMO (vanishing mean oscillation) type coefficients.

引用

页数：25

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