A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Analysis of PDEs
2022-02-22 v5
Abstract
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the constant appearing in the inequality does not depend on the dimension but only on the Gaussian volume of the set and on the fractional parameter.
Keywords
Cite
@article{arxiv.2011.10451,
title = {A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter},
author = {Alessandro Carbotti and Simone Cito and Domenico Angelo La Manna and Diego Pallara},
journal= {arXiv preprint arXiv:2011.10451},
year = {2022}
}
Comments
20 pages