37 citations · 209 across the 33 of their papers we have counts for
44 papers
On a shape optimisation problem for Maxwell's eigenvalues on cuboids
Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio
We consider an optimisation problem for the elementary symmetric functions of the first three Maxwell's eigenvalues on cuboids under volume and perimeter constraint, and we show th…
Asymptotic behavior and spectral distortion for biharmonic Steklov problems on thin domains
Bauyrzhan Derbissaly, Pier Domenico Lamberti
In this paper, we investigate the asymptotic behavior of the eigenvalues and eigenfunctions of a biharmonic Steklov problem defined on a thin domain in the dimensional Euclidea…
The nonlinear Steklov problem in outward cuspidal domains
Pier Domenico Lamberti, Alexander Ukhlov
In this article, we consider the nonlinear Steklov eigenvalue problem in outward cuspidal domains. Using the compactness of the weighted trace embedding we obtain the variational c…
Steklov vs. Steklov: A Fourth-Order Affair Related to the Babuška Paradox
Francesco Ferraresso, Pier Domenico Lamberti
We discuss two fourth-order Steklov problems and highlight a Babuška paradox appearing in their approximations on convex domains via sequences of convex polygons. To do so, we prov…
Shape sensitivity analysis of Neumann-Poincaré eigenvalues
Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Luzzini +1
This paper concerns the eigenvalues of the Neumann-Poincaré operator, a boundary integral operator associated with the harmonic double-layer potential. Specifically, we examine how…
-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity
Pier Domenico Lamberti, Luigi Provenzano
We prove that the Steklov eigenfunctions on convex domains of are regular by adapting a classical argument combined with the Rellich-Pohozaev identity.