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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 ...
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...
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...
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...