The Isoperimetric inequality

被引：1
|
作者：
S Kesavan
机构：
[1] The Institute of Mathematical Sciences,
来源：
Resonance | 2002年 / 7卷 / 9期
关键词：
Isoperimetric inequality; moving planes; Neumann problem; lower contact set; elliptic equations;
D O I：
10.1007/BF02836181
中图分类号：
学科分类号：
摘要：
A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov’s idea of moving planes, will be presented. Compared to the usual proofs, which use geometric measure theory, this proof will be based on elementary ideas from calculus and partial differential equations (Laplace equation).
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页码：8 / 18
页数：10
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