In this paper we are concerned with the existence of normalized solutions for nonlinear
Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2 …

We study the existence of positive solutions with prescribed L 2-norm for the mass
supercritical Schrödinger equation− Δ u+ λ u− V (x) u=| u| p− 2 uu∈ H 1 (RN), λ∈ R, where …

We investigate the relations between normalized critical points of the nonlinear Schrödinger
energy functional and critical points of the corresponding action functional on the associated …

We investigate the existence of ground states with prescribed mass for the focusing
nonlinear Schrödinger equation with L 2-critical power nonlinearity on noncompact quantum …

We review evolutionary models on quantum graphs expressed by linear and nonlinear
partial differential equations. Existence and stability of the standing waves trapped on …

We prove the existence of solutions (λ, v)∈ R× H 1 (Ω) of the elliptic problem {− Δ v+(V (x)+
λ) v= vp in Ω, v> 0,∫ Ω v 2 dx= ρ. Any v solving such problem (for some λ) is called a …

This paper is devoted to the existence of non-trivial bound states of prescribed mass for the
mass-supercritical nonlinear Schrödinger equation on compact metric graphs. The …

We compare ground states for the nonlinear Schrödinger equation on metric graphs, defined
as global minimizers of the action functional constrained on the Nehari manifold, and least …

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 investigate existence and nonexistence of action ground states and nodal action ground
states for the nonlinear Schr\" odinger equation on noncompact metric graphs with rather …