October 23, 2019 (v1)
Publication
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 ℝ2. Finally, we give a list of related open questions.
Uploaded on: December 4, 2022