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
收藏
页码：1119 / 1126
页数：8
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