A Faber-Krahn inequality for mixed local and nonlocal operators

Published 2 Apr 2021 in math.AP | (2104.00830v3)

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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