We study standing waves for a nonlinear Schrödinger equation on a star graph G, ie N
halflines joined at a vertex. At the vertex an interaction occurs described by a boundary …

We consider a nonlinear Schrödinger equation (NLS) posed on a graph (or network)
composed of a generic compact part to which a finite number of half-lines are attached. We …

We consider a generalized nonlinear Schrödinger equation (NLS) with a power nonlinearity|
ψ| 2μ ψ of focusing type describing propagation on the ramified structure given by N edges …

On a star graph made of N≥ 3 halflines (edges) we consider a Schrödinger equation with a
subcritical power-type nonlinearity and an attractive delta interaction located at the vertex …

We study the nonlinear Schr\" odinger equation (NLS) on a star graph $\mathcal {G} $. At the
vertex an interaction occurs described by a boundary condition of delta type with strength …

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, and a …

We consider the nonlinear Schrödinger (NLS) equation with the subcritical power
nonlinearity on a star graph consisting of N edges and a single vertex under generalized …

We study strong instability (by blow-up) of the standing waves for the nonlinear Schrödinger
equation with δ-interaction on a star graph Γ. The key ingredient is a novel variational …

On a star graph G, we consider a nonlinear Schrödinger equation with focusing nonlinearity
of power type and an attractive Dirac's delta potential located at the vertex. The equation can …

A flower graph consists of a half line and N symmetric loops connected at a single vertex
with N≥ 2 (it is called the tadpole graph if N= 1). We consider positive single-lobe states on …