10 citations · 13 across the 4 of their papers we have counts for
6 papers
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…
On a Steklov spectrum in Electromagnetics
Francesco Ferraresso, Pier Domenico Lamberti, Ioannis G. Stratis
After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on analogous problems for time-harmonic Maxwell's equations in a cavity. In th…
On the spectral instability for weak intermediate triharmonic problems
Francesco Ferraresso
We define the weak intermediate boundary conditions for the triharmonic operator . We analyse the sensitivity of this type of boundary conditions upon domain perturbations.…
On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems
Francesco Ferraresso, Pier Domenico Lamberti
We analyse the spectral convergence of high order elliptic differential operators subject to singular domain perturbations and homogeneous boundary conditions of intermediate type.…
Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains
José M. Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thi…
Boundary homogenization for a triharmonic intermediate problem
José Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N-dimensional Euclidean space. We study its spectral…