4 papers
A quantitative stability inequality for fractional capacities
Eleonora Cinti, Roberto Ognibene, Berardo Ruffini
The aim of this work is to show a non-sharp quantitative stability version of the fractional isocapacitary inequality. In particular, we provide a lower bound for the isocapacitary…
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region
Veronica Felli, Benedetta Noris, Roberto Ognibene
In this work we consider the homogeneous Neumann eigenvalue problem for the Laplacian on a bounded Lipschitz domain and a singular perturbation of it, which consists in prescribing…
On fractional multi-singular Schrödinger operators: positivity and localization of binding
Veronica Felli, Debangana Mukherjee, Roberto Ognibene
In this work we investigate positivity properties of nonlocal Schrödinger type operators, driven by the fractional Laplacian, with multipolar, critical, and locally homogeneous pot…
Sharp Convergence Rate of Eigenvalues in a Domain with a Shrinking Tube
Veronica Felli, Roberto Ognibene
In this paper we consider a class of singularly perturbed domains, obtained by attaching a cylindrical tube to a fixed bounded region and letting its section shrink to zero. We use…