搜索结果: 1-12 共查到“数学 isoperimetric”相关记录12条 . 查询时间(0.062 秒)
Isoperimetric inequalities for nilpotent groups
nilpotent groups Isoperimetric inequalities
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
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 ...
A quantitative isoperimetric inequality for fractional perimeters
quantitative isoperimetric inequality fractional perimeters
2011/1/14
Recently Frank & Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here ...
Isoperimetric problems in sectors with density
Isoperimetric problems sectors with density
2011/1/17
We consider the isoperimetric problem in planar sectors with density rp, and with density a > 1 inside the unit disk and 1 outside. We characterize solutions as a function of sector angle. We also sol...
The incenter of a triangle as a cone isoperimetric center
Incenter isoperimetric problem optimization center
2011/3/1
We show that the the image of the regular projection of a vertex of a cone over a triangle
that minimizes the ratio of the cube of the area of the boundary of the cone and the square
of the volume o...
Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups
Carnot groups Sub-Riemannian Geometry Hypersurfaces Isoperimetric Inequality
2011/1/20
In this paper we shall study smooth submanifolds immersed in a k-step Carnot group G of homogeneous dimension Q. Our main result is an isoperimetric inequality for the case of a C2-smooth compact hype...
Quantitative Isoperimetric Inequalities on the Real Line
Quantitative Isoperimetric Inequalities the Real Line
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...
Existence of isoperimetric regions in contact sub-Riemannian manifolds
isoperimetric regions sub-Riemannian manifolds
2010/11/9
We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds such that their quotient by the group of contact transformations preserving the sub-Rie...
The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes
Isoperimetric Profile Noncompact Riemannian Manifold for Small Volumes
2010/11/29
Let M be an n-dimensional Riemannian manifold. We deal, mainly, with the problem of finding a relatively compact domain D ⊂⊂ M that minimizes Area(∂D) among domains of the same volum...
On Complexity of Isoperimetric Problems on Trees
isoperimetric number Cheeger constant normalized cut graph partitioning
2010/12/15
This paper is aimed to investigate some computational aspects of different isoperi-metric problems on weighted trees. In this regard, we consider different connectivity pa-rameters called minimum norm...
A simple proof of the isoperimetric theorem for the hyperbolic plane
isoperimetric theorem hyperbolic plane
2010/11/30
В этой методической заметке приводятся четкая формулировка и короткое доказа-тельство основного результата работы [A] (см. ниже), а также проясняется его связь с изопериметрической теоремой для плоско...
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones
isoperimetric cones solid angle
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...