18 citations · 47 across the 17 of their papers we have counts for
4 papers · 1 filter
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.
Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron
In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our…