24 citations · 56 across the 5 of their papers we have counts for
3 papers · 1 filter
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…