A Faber-Krahn inequality for mixed local and nonlocal operators
Analysis of PDEs
2022-12-21 v3
Abstract
We 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.
Keywords
Cite
@article{arxiv.2104.00830,
title = {A Faber-Krahn inequality for mixed local and nonlocal operators},
author = {Stefano Biagi and Serena Dipierro and Enrico Valdinoci and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2104.00830},
year = {2022}
}
Comments
Journal d'Analyse Math\'ematique