Some isoperimetric problems in planes with density
Cañete, Antonio ; Miranda Jr., Michele ; Vittone, Davide
arXiv, 0906.1256 / Harvested from arXiv
Text on arXiv
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 $\R^2$. Finally, we give a list of related open questions.
Publié le : 2009-06-08
Classification:  Mathematics - Differential Geometry 
@article{0906.1256,
     author = {Ca\~nete, Antonio and Miranda Jr., Michele and Vittone, Davide},
     title = {Some isoperimetric problems in planes with density},
     journal = {arXiv},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0906.1256}
}

Cañete, Antonio; Miranda Jr., Michele; Vittone, Davide. Some isoperimetric problems in planes with density. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0906.1256/