Stability of the Poincar\'e-Korn inequality
Analysis of PDEs
2024-05-03 v1 Functional Analysis
Probability
Abstract
We resolve a question of Carrapatoso et al. on Gaussian optimality for the sharp constant in Poincar\'e-Korn inequalities, under a moment constraint. We also prove stability, showing that measures with near-optimal constant are quantitatively close to standard Gaussian.
Cite
@article{arxiv.2405.01441,
title = {Stability of the Poincar\'e-Korn inequality},
author = {Thomas A. Courtade and Max Fathi},
journal= {arXiv preprint arXiv:2405.01441},
year = {2024}
}