18 citations · 47 across the 17 of their papers we have counts for
3 papers · 1 filter
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…