Unbounded components of the singular set of the distance function in Rn

被引：8

作者：

Cannarsa, P ^{[1
]}

Peirone, R ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 11期

关键词：

distance function; metric projection; best approximation; singularities; differential inclusions;

D O I：

10.1090/S0002-9947-01-02836-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a closed set F subset of or equal to R-n, the set Sigma (F) of all points at which the metric projection onto F is multi-valued is nonempty if and only if F is nonconvex. The authors analyze such a set, characterizing the unbounded connected components of Sigma (F). For F compact, the existence of an asymptote for any unbounded component of Sigma (F) is obtained.

引用

页码：4567 / 4581

页数：15

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