arXiv:2104.00830 Abstract | arXiv Analytics

arXiv:2104.00830 [math.AP]Abstract References Reviews Resources

A Faber-Krahn inequality for mixed local and nonlocal operators

Stefano Biagi, Serena Dipierro, Enrico Valdinoci, Eugenio Vecchi

Published 2021-04-02Version 1

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.

Categories: math.AP

Keywords: nonlocal operators, first dirichlet eigenvalue problem, mixed local/nonlocal elliptic operator, first eigenvalue, quantitative faber-krahn inequality

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