S. Cito

activity

20202026

most citedA stability result for the first Robin-Neumann eigenvalue: A double perturbation approach

3 citations · 3 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.AP2023

Minimization of the $k$ -th eigenvalue of the Robin-Laplacian with perimeter constraint

Simone Cito, Alessandro Giacomini

In this paper we address the problem of the minimization of the $k$ -th Robin eigenvalue $λ_{k, β}$ with parameter $β > 0$ among bounded open Lipschitz sets with prescribed perimeter.…

math.AP2023

Stability of the Gaussian Faber-Krahn inequality

Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1

We prove a quantitative version of the Gaussian Faber-Krahn type inequality proved by Betta, Chiacchio and Ferone for the first Dirichlet eigenvalue of the Ornstein-Uhlenbeck opera…

math.AP2023

Minimization of the buckling load of a clamped plate with perimeter constraint

Michele Carriero, Simone Cito, Antonio Leaci

We look for minimizers of the buckling load problem with perimeter constraint in any dimension. In dimension 2, we show that the minimizing plates are convex; in higher dimension,…

math.AP2023★ 3 cited

A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach

Simone Cito, Gloria Paoli, Gianpaolo Piscitelli

Let $Ω = Ω_{0} ∖ Θ \subset R^{n}$ , $n \geq 2$ , where $Ω_{0}$ and $Θ$ are two open, bounded and convex sets such that $Θ \subset Ω_{0}$ and let $β < 0$ be a given…

Minimization of the k -th eigenvalue of the Robin-Laplacian with perimeter constraint

Stability of the Gaussian Faber-Krahn inequality

Minimization of the buckling load of a clamped plate with perimeter constraint

A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach

Minimization of the $k$ -th eigenvalue of the Robin-Laplacian with perimeter constraint