Isoperimetric problem with a Coulombic repulsive term
Analysis of PDEs
2012-07-04 v1
Abstract
We consider a non-local isoperimetric problem with a repulsive Coulombic term. In dimension three this corresponds to the Gamow's famous liquid drop model. We show that whenever the mass is small the ball is the unique minimizer of the problem. The proof is based on a strong version of a quantitative isoperimetric inequality.
Cite
@article{arxiv.1207.0715,
title = {Isoperimetric problem with a Coulombic repulsive term},
author = {Vesa Julin},
journal= {arXiv preprint arXiv:1207.0715},
year = {2012}
}