24 citations · 56 across the 5 of their papers we have counts for
7 papers
On multiple eigenvalues for Aharonov-Bohm operators in planar domains
Laura Abatangelo, Manon Nys
We study multiple eigenvalues of a magnetic Aharonov-Bohm operator with Dirichlet boundary conditions in a planar domain. In particular, we study the structure of the set of the co…
Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-interger circulation
Laura Abatangelo, Veronica Felli, Benedetta Noris +1
We study the behavior of eigenvalues of a magnetic Aharonov-Bohm operator with non-half-integer circulation and Dirichlet boundary conditions in a planar domain. As the pole is mov…
Properties of groundstates of nonlinear Schrödinger equations under a weak constant magnetic field
Denis Bonheure, Manon Nys, Jean Van Schaftingen
We study the qualitative properties of groundstates of the time-independent magnetic semilinear Schrödinger equation \[ - (\nabla + i A)^2 u + u = |u|^{p-2} u, \qquad \text{ in } \…
Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles
Laura Abatangelo, Veronica Felli, Benedetta Noris +1
In this paper, we investigate the behavior of the eigenvalues of a magnetic Aharonov-Bohm operator with half-integer circulation and Dirichlet boundary conditions in a bounded plan…
A quasilinear bistable equation in cylinders and timelike heteroclinics in special relativity
Denis Bonheure, Isabel Coelho, Manon Nys
In this note we consider the action functional \[ \int_{\mathbb{R} \times ω} \left( 1 - \sqrt{ 1 - |\nabla u|^2 } + W(u) \right) \, \mathrm{d}t, \] where is a double well poten…
On the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain
Benedetta Noris, Manon Nys, Susanna Terracini
We continue the analysis started in [Noris,Terracini,Indiana Univ Math J,2010] and [Bonnaillie-Noël,Noris,Nys,Terracini,Analysis & PDE,2014], concerning the behavior of the eigenva…
On the eigenvalues of Aharonov-Bohm operators with varying poles
Virginie Bonnaillie-Noël, Benedetta Noris, Manon Nys +1
We consider a magnetic operator of Aharonov-Bohm type with Dirichlet boundary conditions in a planar domain. We analyse the behavior of its eigenvalues as the singular pole moves i…