64 citations · 377 across the 31 of their papers we have counts for
32 papers
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…
NLS ground states on the half-line with point interactions
Filippo Boni, Raffaele Carlone
We investigate the existence and the uniqueness of NLS ground states of fixed mass on the half-line in the presence of a point interaction at the origin. The nonlinearity is of pow…
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We study the ground states for the Schrödinger equation with a focusing nonlinearity and a point interaction in dimension three. We establish that ground states exist for every val…
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We investigate the ground states for the focusing, subcritical nonlinear Schrödinger equation with a point defect in dimension two, defined as the minimizers of the energy function…