18 citations · 47 across the 11 of their papers we have counts for
8 papers · 1 filter
Spectral stability of the operator via uniform Gaffney inequalities on perturbed electromagnetic cavities
Pier Domenico Lamberti, Michele Zaccaron
We prove spectral stability results for the operator subject to electric boundary conditions on a cavity upon boundary perturbations. The cavities are assumed to be suf…
Spectral stability of the Steklov problem
Alberto Ferrero, Pier Domenico Lamberti
This paper investigates the stability properties of the spectrum of the classical Steklov problem under domain perturbation. We find conditions which guarantee the spectral stabili…
Spectral stability for a class of fourth order Steklov problems under domain perturbations
Alberto Ferrero, Pier Domenico Lamberti
We study the spectral stability of two fourth order Steklov problems upon domain perturbation. One of the two problems is the classical DBS - Dirichlet Biharmonic Steklov - problem…
Shape perturbation of Grushin eigenvalues
Pier Domenico Lamberti, Paolo Luzzini, Paolo Musolino
We consider the spectral problem for the Grushin Laplacian subject to homogeneous Dirichlet boundary conditions on a bounded open subset of . We prove that the symmet…
On an interior Calderón operator and a related Steklov eigenproblem for Maxwell's equations
Pier Domenico Lamberti, Ioannis G. Stratis
We discuss a Steklov-type problem for Maxwell's equations which is related to an interior Calderón operator and an appropriate Dirichlet-to-Neumann type map. The corresponding Neum…
Eigenvalues of the Finsler -Laplacian on varying domains
Giuseppina di Blasio, Pier Domenico Lamberti
We study the dependence of the first eigenvalue of the Finsler -Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results kn…