An isodiametric problem with additional constraints

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:397

Article

Dai, Xin-Rong¹  He, Wei-Hong¹  Luo, Jun¹ 

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

关键词: Isodiametric inequality;    Isodiametric problem;   

DOI  :  10.1016/j.jmaa.2012.06.015

来源: Elsevier

【 摘 要 】

Let M-0 be the class of compact convex domains on the plane, which have diameter one, contain the origin, and are included in the fan region spanned by two rays starting from the origin with angle theta epsilon (pi/3, pi) between them. In this paper, we show that there is a unique compact convex domain with maximal area and also we determine the shape of the above domain. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free