1 citations · 3 across the 6 of their papers we have counts for
6 papers
Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator
Alberto Enciso, Angela Pistoia, Luigi Provenzano
Given a compact manifold with boundary of dimension and any integers and , we show that there exists a metric on for which the first …
Geometry of the magnetic Steklov problem on Riemannian annuli
Luigi Provenzano, Alessandro Savo
We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an annulus (a compact Riemannian surface with genus zero and two boundary components), the m…
Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
On the stability of some isoperimetric inequalities for the fundamental tones of free plates
Davide Buoso, L. Mercredi Chasman, Luigi Provenzano
We provide a quantitative version of the isoperimetric inequality for the fundamental tone of a biharmonic Neumann problem. Such an inequality has been recently established by Chas…
On the eigenvalues of a biharmonic Steklov problem
Davide Buoso, Luigi Provenzano
We consider an eigenvalue problem for the biharmonic operator with Steklov-type boundary conditions. We obtain it as a limiting Neumann problem for the biharmonic operator in a pro…
Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues
Pier Domenico Lamberti, Luigi Provenzano
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the N…