Some weighted isoperimetric inequalities in quantitative form
Analysis of PDEs
2022-07-21 v4
Abstract
In this paper we study two different weighted isoperimetric inequalities. In the first part of the paper we prove a sharp stability result for the isoperimetric inequality with a log-convex weight. In the second part we analize the behavior of a negative power weight for the perimeter thus providing a complete picture of the isoperimetric problem in this context.
Keywords
Cite
@article{arxiv.2207.06250,
title = {Some weighted isoperimetric inequalities in quantitative form},
author = {Nicola Fusco and Domenico Angelo La Manna},
journal= {arXiv preprint arXiv:2207.06250},
year = {2022}
}
Comments
We spotted a mistake in the proof of lemma 3.1