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.
The quantitative Faber-Krahn inequality for the Robin Laplacian
On the first eigenvalue of the Laplacian for polygons
Extremal properties of the first eigenvalue and the fundamental gap of a sub-elliptic operator
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