Stability of the Poincaré–Korn Inequality

IF 2.4 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2025-08-19 DOI:10.1007/s00205-025-02127-7

Thomas A. Courtade, Max Fathi

引用次数: 0

Abstract

We resolve a question of Carrapatoso et al. (Arch Ration Mech Anal 243(3):1565–1596, 2022) on Gaussian optimality for the sharp constant in Poincaré-Korn inequalities, under a moment constraint. We also prove stability, showing that measures with a near-optimal constant are quantitatively close to standard Gaussian.

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poincar_3 - korn不等式的稳定性

我们解决了Carrapatoso等人（Arch Ration mecha, 243(3): 1565-1596, 2022）在力矩约束下poincar - korn不等式中尖锐常数的高斯最优性问题。我们还证明了稳定性，表明具有接近最优常数的度量在数量上接近标准高斯。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.