Results 191 to 200 of about 1,599 (218)

The Stability of the Isoperimetric Inequality

2017
These lecture notes contain the material that I presented in two summer courses in 2013, one at the Carnegie Mellon University and the other one in a CIME school at Cetraro. The aim of both courses was to give a quick but comprehensive introduction to some recent results on the stability of the isoperimetric inequality.
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The Isoperimetric inequality

Resonance, 2002
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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A Semigroup Version of the Isoperimetric Inequality

Semigroup Forum, 2004
The isoperimetric inequality in \({\mathbb R}^n\) states the following principle. Let \(A\), \(B\) be subsets of \({\mathbb R}^n\) with the same volume, \(B\) a Euclidean ball and denote by \(| {\partial}A|\), \(| {\partial}B|\) the respective measure of the surfaces \({\partial}A\) and \({\partial}B\).
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Isoperimetric Inequalities for Random Walks

Potential Analysis, 2003
On a countably infinite, locally finite and connected graph a reversible Markov chain is considered whose one step transition probabilities are uniformly bounded below. The main theorem states a set of equivalent conditions for diagonal upper bounds on the \(n\)-step transition function. It is based on the corresponding work of \textit{P.
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L1 isoperimetric inequality on the unit disk

Advances in Mathematics, 2022
Jingbo Dou, Meijun Zhu
exaly  

Isoperimetric Inequalities and Their Applications

SIAM Review, 1967
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A generalized affine isoperimetric inequality

Journal of Geometric Analysis, 2004
Ralph Howard, Erwin Lutwak
exaly  

An Isoperimetric Inequality for Eigenvalues of the Stekloff Problem

ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2001
F Brock
exaly  

A Sharp Stability Result for the Relative Isoperimetric Inequality Inside Convex Cones

Journal of Geometric Analysis, 2011
Alessio Figalli, Figalli A
exaly  

The Isoperimetric Inequality on the Sphere

American Journal of Mathematics, 1935
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