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The Isoperimetric inequality
Authors:S Kesavan
Affiliation:(1) The Institute of Mathematical Sciences, CIT Campus, Taramani, 600 113 Chennai, India
Abstract: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).
Keywords:Isoperimetric inequality  moving planes  Neumann problem  lower contact set  elliptic equations
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