Marco Michetti

most citedAsymptotic behaviour of the Steklov problem on dumbbell domains

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2022

Optimal bounds for Neumann eigenvalues in terms of the diameter

Antoine Henrot, Marco Michetti

In this paper, we obtain optimal upper bounds for all the Neumann eigenvalues in two situations (that are closely related). First we consider a one-dimensional Sturm-Liouville eige…

math.AP2022

Steklov-Dirichlet spectrum: stability, optimization and continuity of eigenvalues

Marco Michetti

In this paper we study the Steklov-Dirichlet eigenvalues $λ_{k} (Ω, Γ_{S})$ , where $Ω \subset R^{d}$ is a domain and $Γ_{S} \subset \partial Ω$ is the subset of the boundary in which…

math.AP2020★ 1 cited

Asymptotic behaviour of the Steklov problem on dumbbell domains

Dorin Bucur, Antoine Henrot, Marco Michetti

We analyse the asymptotic behaviour of the eigenvalues and eigenvectors of a Steklov problem in a dumbbell domain consisting of two Lipschitz sets connected by a thin tube with van…