A GENERALIZATION OF THE BLASCHKE-LEBESGUE PROBLEM TO A KIND OF CONVEX DOMAINS

被引：2

作者：

Pan, Shengliang ^{[1
]}

Zhang, Deyan ^{[2
]}

Chao, Zhongjun ^{[3
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Huaibei Normal Univ, Sch Math Sci, Huaibei 235000, Anhui, Peoples R China

[3] Chengdu 7 High Sch, Chengdu 610041, Sichuan Provinc, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 05期

关键词：

Convex domains; biwidth; mixed area; difference domain; area; BODIES; WIDTH;

D O I：

10.3934/dcdsb.2016012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will introduce for a convex domain K in the Euclidean plane a function Omega(n)(K, theta) which is called by us the biwidth of K, and then try to find out the least area convex domain with constant biwidth Lambda among all convex domains with the same constant biwidth. When n is an odd integer, it is proved that our problem is just that of Blaschke-Lebesgue, and when n is an even number, we give a lower bound of the area of such constant biwidth domains.

引用

页码：1587 / 1601

页数：15

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