Some isoperimetric problems in planes with density
Differential Geometry
2009-06-09 v1
Abstract
We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and balls. We also consider continuous modification of Gauss density in . Finally, we give a list of related open questions.
Keywords
Cite
@article{arxiv.0906.1256,
title = {Some isoperimetric problems in planes with density},
author = {Antonio Cañete and Michele Miranda and Davide Vittone},
journal= {arXiv preprint arXiv:0906.1256},
year = {2009}
}
Comments
40 pages, 19 figures