2 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.…
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 metr…