A variant of the isoperimetric problem,PartⅠ 被引量：1

A variant of the isoperimetric problem,PartⅠ

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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? 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?

作者 PAN ShengLiang Department of Mathematics,East China Normal University,Shanghai 200062,China SUN XiaoWei WANG YouDe Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China

出处《Science China Mathematics》 SCIE 2008年第6期1119-1126,共8页 中国科学：数学（英文版）

基金 the National Natural Science Foundation of China(Grant No.10671066) the Shanghai Leading Academic Discipline Project(Project No.B407) partially supported by the National Key Basic Research Project of China(Grant No.2006CB805902)

关键词 ISOPERIMETRIC problem minor(major)circular SEGMENTS SYMMETRIC LENS isoperimetric problem minor(major)circular segments symmetric lens

分类号 O174 [理学—基础数学]

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Science China Mathematics

2008年第6期

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A variant of the isoperimetric problem,PartⅠ 被引量：1

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