1 citations · 2 across the 10 of their papers we have counts for
10 papers
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 eigenva…
Miminization of the first eigenvalue of the Dirichlet Laplacian with a small volume obstacle
Benedetta Noris, Giovanni Siclari, Gianmaria Verzini
We consider the well-known shape optimization problem with spectral cost: minimizing the first eigenvalue of the Dirichlet Laplacian among all subdomains having prescribed volu…
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…
On Aharonov-Bohm operators with multiple colliding poles of any circulation
Veronica Felli, Benedetta Noris, Giovanni Siclari
This paper deals with quantitative spectral stability for Aharonov-Bohm operators with many colliding poles of whichever circulation. An equivalent formulation of the eigenvalue pr…
Quantitative spectral stability for Aharonov-Bohm operators with many coalescing poles
Veronica Felli, Benedetta Noris, Roberto Ognibene +1
The behavior of simple eigenvalues of Aharonov-Bohm operators with many coalescing poles is discussed. In the case of half-integer circulation, a gauge transformation makes the pro…
On the fractional powers of a Schrödinger operator with a Hardy-type potential
Giovanni Siclari
Strong unique continuation properties and a classification of the asymptotic profiles are established for the fractional powers of a Schrödinger operator with a Hardy-type potentia…
Strong unique continuation from the boundary for the spectral fractional Laplacian
Alessandra De Luca, Veronica Felli, Giovanni Siclari
We investigate unique continuation properties and asymptotic behaviour at boundary points for solutions to a class of elliptic equations involving the spectral fractional Laplacian…
On fractional parabolic equations with Hardy-type potentials
Veronica Felli, Ana Primo, Giovanni Siclari
A classification of local asymptotic profiles and strong unique continuation properties are established for a class of fractional heat equations with a Hardy-type potential, via an…
Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems
Veronica Felli, Giovanni Siclari
Sobolev-type regularity results are proved for solutions to a class of second order elliptic equations with a singular or degenerate weight, under non-homogeneous Neumann condition…
Unique continuation from a crack's tip under Neumann boundary conditions
Veronica Felli, Giovanni Siclari
We derive local asymptotics of solutions to second order elliptic equations at the edge of a -dimensional crack, with homogeneous Neumann boundary conditions prescribed on b…