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math.AP2019★ 14 cited
A nonlocal supercritical Neumann problem
Eleonora Cinti, Francesca Colasuonno
We establish existence of positive non-decreasing radial solutions for a nonlocal nonlinear Neumann problem both in the ball and in the annulus. The nonlinearity that we consider i…
math.AP2019★ 14 cited
A quantitative stability estimate for the fractional Faber-Krahn inequality
Lorenzo Brasco, Eleonora Cinti, Stefano Vita
We prove a quantitative version of the Faber-Krahn inequality for the first eigenvalue of the fractional Dirichlet-Laplacian of order s. This is done by using the so-called Caffare…