A Faber-Krahn inequality for mixed local and nonlocal operators-Reference-Cited by-同舟云学术

A Faber-Krahn inequality for mixed local and nonlocal operators

Published:2023-03-20 Issue:2 Volume:150 Page:405-448
ISSN:0021-7670
Container-title:Journal d'Analyse Mathématique
language:en
Short-container-title:JAMA

Author:

Biagi Stefano,Dipierro Serena,Valdinoci Enrico,Vecchi Eugenio

Abstract

AbstractWe consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator and we establish a quantitative Faber-Krahn inequality. More precisely, we show that balls minimize the first eigenvalue among sets of given volume and we provide a stability result for sets that almost attain the minimum.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11854-023-0272-5.pdf

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