33 citations · 102 across the 8 of their papers we have counts for
7 papers · 1 filter
Two dimensional NLS ground states with attractive Coulomb potential and point interaction
Filippo Boni, Matteo Gallone
We study the existence and the properties of ground states at fixed mass for a focusing nonlinear Schrödinger equation in dimension two with a point interaction, an attractive Coul…
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…
Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs
Riccardo Adami, Filippo Boni, Simone Dovetta
We investigate the existence of ground states for the nonlinear Schrödinger Equation on star graphs with two subcritical focusing nonlinear terms: a standard power nonlinearity, an…
Non-Kirchhoff Vertices and NLS Ground States on graphs
Riccardo Adami, Filippo Boni, Alice Ruighi
We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices whe…
Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one
Filippo Boni, Simone Dovetta
We investigate the problem of existence and uniqueness of ground states at fixed mass for two families of focusing nonlinear Schrödinger equations on the line. The first family con…