1 citations · 1 across the 8 of their papers we have counts for
8 papers
Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
Marco Michetti, Luigi Provenzano, Alessandro Savo
We consider the first eigenvalue of the magnetic Laplacian with zero magnetic field on simply connected compact surfaces and we establish isoperimetric inequalities and upper bound…
Robin Green Function Estimates and a Model of Mammalian Lungs
Guy David, Stefano Decio, Max Engelstein +3
The present paper establishes delicate properties of the Green function with Robin boundary conditions, in particular, elucidating the nature of the passage between the Dirichlet-l…
Dimension and structure of the Robin Harmonic Measure on Rough Domains
Guy David, Stefano Decio, Max Engelstein +2
The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any…
Optimization of Neumann Eigenvalues under convexity and geometric constraints
Beniamin Bogosel, Antoine Henrot, Marco Michetti
In this paper we study optimization problems for Neumann eigenvalues among convex domains with a constraint on the diameter or the perimeter. We work mainly in the plane, tho…
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…
Steklov-Dirichlet spectrum: stability, optimization and continuity of eigenvalues
Marco Michetti
In this paper we study the Steklov-Dirichlet eigenvalues , where is a domain and is the subset of the boundary in which…
A comparison between Neumann and Steklov eigenvalues
Antoine Henrot, Marco Michetti
This paper is devoted to a comparison between the normalized first (non-trivial) Neumann eigenvalue for a Lipschitz open set in the plane, and the normalized first…
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…