A quantitative stability estimate for the fractional Faber-Krahn inequality

被引：10

作者：

Brasco, Lorenzo ^{[1
]}

Cinti, Eleonora ^{[2
]}

Vita, Stefano ^{[3
]}

机构：

[1] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 35, Ferrara 44121, Italy

[2] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, Bologna 40126, Italy

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, Milan 20125, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 03期

关键词：

Stability of eigenvalues; Fractional Laplacian; REGULARITY; EIGENVALUES; LAPLACIAN; EQUATIONS;

D O I：

10.1016/j.jfa.2020.108560

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a quantitative version of the Faber-Krahn inequality for the first eigenvalue of the fractional Dirichlet-Laplacian of order s. This is done by using the so-called Caffarelli-Silvestre extension and adapting to the nonlocal setting a trick by Hansen and Nadirashvili. The relevant stability estimate comes with an explicit constant, which is stable as the fractional order of differentiability goes to 1. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：49

共 36 条

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