18 citations · 47 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
Shape sensitivity analysis for electromagnetic cavities
Pier Domenico Lamberti, Michele Zaccaron
We study the dependence of the eigenvalues of time-harmonic Maxwell's equations in a cavity upon variation of its shape. The analysis concerns all eigenvalues both simple and multi…
Remarks on Sobolev-Morrey-Campanato spaces defined on domains
Pier Domenico Lamberti, Vincenzo Vespri
We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class , and we prese…