Results 181 to 190 of about 1,372 (214)

ISOPERIMETRIC INEQUALITIES FOR MULTIVARIFOLDS

Mathematics of the USSR-Izvestiya, 1986
Developing the theory of multivarifolds the author establishes new isoperimetric inequalities. The main result can be stated as follows: ''Let W be a \((k+1)\)-dimensional compact Riemannian manifold with boundary \(\partial W\), and \(g: \partial W\to R^ n\) a fixed mapping of class \(C^ r\) (resp. a locally Lipschitz mapping).
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An Isoperimetric Inequality on the Discrete Torus

SIAM Journal on Discrete Mathematics, 1990
Summary: The discrete torus is the graph on \(\mathbb{Z}^ n_ k=(\mathbb{Z}/k\mathbb{Z})^ n\) in which \(x=(x_ i)^ n_ 1\) is joined to \(y=(y_ i)^ n_ 1\) if for some \(i\) there is \(x_ i=y_ i\pm1\) and \(x_ j=y_ j\) for all \(j\neq i\). For a set \(A\subset\mathbb{Z}^ n_ k\) and a natural number \(t\), let \(A_{(t)}\) be the set of vertices of ...
Béla Bollobás, Imre Leader
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Relative isoperimetric inequality and¶linear isoperimetric inequality for minimal submanifolds

manuscripta mathematica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Isoperimetric Inequality for Tetrahedra

Canadian Mathematical Bulletin, 1966
Let T be a tetrahedron and let V(T) and L(T) denote its volume and the sum of its edge-lengths. In this note we prove Theorem 1. with equality if and only if the tetrahedron T is regular.
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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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Some weighted isoperimetric inequalities in quantitative form

Journal of Functional Analysis, 2023
Nicola Fusco, Domenico Angelo La Manna
exaly  

Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators

Journal of Functional Analysis, 2020
Nicola Garofalo, Giulio Tralli
exaly