3 papers
math.AP2025
Stability transitions of NLS action ground-states on metric graphs
Francisco Agostinho, Simão Correia, Hugo Tavares
We study the orbital stability of action ground-states of the nonlinear Schrödinger equation over two particular cases of metric graphs, the and the tadpole graphs. W…
math.AP2025
A comprehensive study of bound-states for the nonlinear Schrödinger equation on single-knot metric graphs
Francisco Agostinho, Simão Correia, Hugo Tavares
We study the existence and qualitative properties of action ground-states (that is, bound-states with minimal action) {of the nonlinear Schrödinger equation} over single-knot metri…
math.AP2023
Classification and stability of positive solutions to the NLS equation on the -metric graph
Francisco Agostinho, Simão Correia, Hugo Tavares
Given and , we present a complete classification of the positive -solutions of the equation on the -metric graph (consisting of tw…