1 citations · 1 across the 6 of their papers we have counts for
6 papers
Point interactions and singular solutions to semilinear elliptic equations
Filippo Boni, Diego Noja, Raffaele Scandone
We investigate the connection between semilinear elliptic PDEs with isolated singularities and stationary nonlinear Schrödinger equations with point interactions. In dimensions $d=…
Trapping by repulsion: the NLS with a delta-prime
Riccardo Adami, Filippo Boni, Matteo Gallone
We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focus…
An explicitly solvable NLS model with discontinuous standing waves
Riccardo Adami, Filippo Boni, Takaaki Nakamura +1
We study the NLS Equation on the line with a point interaction given by the superposition of an attractive delta potential with a dipole interaction, in the cases of -subcriti…
Normalized NLS ground states on a double plane hybrid
Filippo Boni, Raffaele Carlone, Ilenia Di Giorgio
We investigate the existence and the properties of normalized ground states of a nonlinear Schrödinger equation on a quantum hybrid formed by two planes connected at a point. The n…
The search for NLS ground states on a hybrid domain: Motivations, methods, and results
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We discuss the problem of establishing the existence of the Ground States for the subcritical focusing Nonlinear Schrödinger energy on a domain made of a line and a plane intersect…
NLS ground states on a hybrid plane
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We study existence, nonexistence, and qualitative properties of ground states for a focusing, subcritical Nonlinear Schrödinger Equation on a hybrid plane, consisting of a half-lin…