5 papers
Edge asymptotics for weighted Robin equations on cylinders with applications to spectral fractional Laplacians
Alessandra De Luca, Veronica Felli, Stefano Vita
For a class of weighted degenerate or singular problems on a cylinder, Almgren-type monotonicity methods are employed to derive asymptotic estimates of solutions near the edge betw…
Magnetic Neumann problems with Aharonov-Bohm potentials: boundary asymptotics of eigenvalues and splitting phenomena
Veronica Felli, Prasun Roychowdhury, Giovanni Siclari
We study a planar magnetic Schrödinger operator with an Aharonov-Bohm vector potential, under Neumann boundary conditions. Through a gauge transformation, the corresponding eigenv…
On the splitting of Neumann eigenvalues in perforated domains
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
We address the problem of splitting of eigenvalues of the Neumann Laplacian under singular domain perturbations. We consider a domain perturbed by the excision of a small spherical…
Quantitative Spectral Stability for the Robin Laplacian
Veronica Felli, Prasun Roychowdhury, Giovanni Siclari
This paper deals with eigenelements of the Laplacian in bounded domains, under Robin boundary conditions, without any assumption on the sign of the Robin parameter. We quantify the…
Quantitative spectral stability for the Neumann Laplacian in domains with small holes
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
The aim of the present paper is to investigate the behavior of the spectrum of the Neumann Laplacian in domains with little holes excised from the interior. More precisely, we cons…