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math.AP2022
The Hadamard formula and the Rayleigh-Faber-Krahn inequality for nonlocal eigenvalue problems
Rafael D. Benguria, Mariel Sáez, Marcone C. Pereira
In this paper we obtain a Hadamard type formula for simple eigenvalues and an analog to the Rayleigh-Faber-Krahn inequality for a class of nonlocal eigenvalue problems. Such class…
math.AP2015
On the evolution by fractional mean curvature
Mariel Sáez, Enrico Valdinoci
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a comparison principle and consequences such as uniqueness and finite extinction…