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The Isoperimetric Inequality

S Kesavan


S Kesavan

S Kesavan works at the Institute of Mathematical Sciences, Chennai. His research interests lie in the area of partial differential equations. He is particularly fascinated by isoperimetric inequalities for eigenvalue problems in pde. .

 

A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov's id- ea 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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Address for Correspondence
S Kesavan
Institute of Mathematical Sciences,
CIT Campus, Taramani
Chennai 600 113, India.


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