Conditions for Equality of Hulls in the Calculus of Variations

被引：0

作者：

Georg Dolzmann

Bernd Kirchheim

Jan Kristensen

机构：

[1] Max Planck Institute for Mathematics in the Sciences,

[2] ¶Inselstr. 22–26¶04103 Leipzig¶Germany,undefined

[3] Mathematical Institute¶University of Oxford¶24–29 St Giles¶Oxford OX1 3LB,undefined

[4] ¶United Kingdom,undefined

来源：

Archive for Rational Mechanics and Analysis | 2000年 / 154卷

关键词：

Hull; Distance Function; Underlying Geometry; Quasiconvex Envelope; Quasiconvex Hull;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We simplify and sharpen several results by K. Zhang concerning properties of quasiconvex hulls of sets and quasiconvex envelopes of their distance functions. The approach emphasizes the underlying geometry and in particular we show that Kpc=Kc implies Krc=Kc if and only if min{m,n}≤ 2 thus answering a question raised in [Z2].

引用

页码：93 / 100

页数：7