A quantitative stability inequality for fractional capacities
Analysis of PDEs
2021-10-06 v2
Abstract
The aim of this work is to show a non-sharp quantitative stability version of the fractional isocapacitary inequality. In particular, we provide a lower bound for the isocapacitary deficit in terms of the Fraenkel asymmetry. In addition, we provide the asymptotic behaviour of the -fractional capacity when goes to and the stability of our estimate with respect to the parameter .
Keywords
Cite
@article{arxiv.2107.08257,
title = {A quantitative stability inequality for fractional capacities},
author = {Eleonora Cinti and Roberto Ognibene and Berardo Ruffini},
journal= {arXiv preprint arXiv:2107.08257},
year = {2021}
}