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arXiv · 2104.00830

A Faber-Krahn inequality for mixed local and nonlocal operators

Stefano Biagi·Serena Dipierro·Enrico Valdinoci·Eugenio Vecchi
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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.

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Stefano Biagi, Serena Dipierro, Enrico Valdinoci, Eugenio Vecchi. 2021-04-02. A Faber-Krahn inequality for mixed local and nonlocal operators. https://arxiv.org/abs/2104.00830

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