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Isoperimetric inequalities for nilpotent groups
nilpotent groups Isoperimetric inequalities
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2015/8/26
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
Weighted Isoperimetric Inequalities and Applications to Elliptic Equations
Relative isoperimetric inequality weighted perimeter degenerate elliptic equations
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2011/9/21
Abstract: In this paper we study some weighted isoperimetric inequalities relative to cones of $\mathbb{R}^{N}$. We give some information on the structure of those measures admitting as isoperimetric ...
Quantitative Isoperimetric Inequalities on the Real Line
Quantitative Isoperimetric Inequalities the Real Line
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2010/11/23
In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a hal...
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones
isoperimetric cones solid angle
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2007/12/11
On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also w...