5 papers · 1 filter
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-li…
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…
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 focu…
Ground states for the NLS on non-compact graphs with an attractive potential
Riccardo Adami, Ivan Gallo, David Spitzkopf
We consider the subcritical nonlinear Schrödinger equation on non-compact quantum graphs with an attractive potential supported in the compact core, and investigate the existence…
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 intersec…