A variant of the isoperimetric problem,PartⅠ  

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》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)

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?

关 键 词：ISOPERIMETRIC problem minor(major)circular SEGMENTS SYMMETRIC LENS 

分 类 号：O174[理学—数学]