Conditions for equality of hulls in the calculus of variations

被引：8
作者：
Dolzmann, G
Kirchheim, B
Kristensen, J
机构：
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2000年 / 154卷 / 02期
关键词：
Hull; Distance Function; Underlying Geometry; Quasiconvex Envelope; Quasiconvex Hull;
D O I：
10.1007/s002050000098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 K-pc = K-c implies K-rc = K-c if and only if min {m, n} less than or equal to 2 thus answering a question raised in [Z2].
引用
收藏
页码：93 / 100
页数：8
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