A variant of the isoperimetric problem, Part I

被引：2

作者：

Pan ShengLiang ^{[1
]}

Sun XiaoWei ^{[2
]}

Wang YouDe ^{[2
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 06期

基金：

中国国家自然科学基金;

关键词：

isoperimetric problem; minor (major) circular segments; symmetric lens;

D O I：

10.1007/s11425-008-0043-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the following isoperimetric problem in the plane: Among all regions with prescribed perimeter and covering a given line segment, what is the region that has the greatest area?.

引用

页码：1119 / 1126

页数：8

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