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math.AP2018
Variational and stability properties of constant solutions to the NLS equation on compact metric graphs
Claudio Cacciapuoti, Simone Dovetta, Enrico Serra
We consider the nonlinear Schrödinger equation with pure power nonlinearity on a general compact metric graph, and in particular its stationary solutions with fixed mass. Since the…
math.AP2018★ 32 cited
Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs
Riccardo Adami, Simone Dovetta, Enrico Serra +1
We investigate the existence of ground states for the focusing nonlinear Schroedinger equation on a prototypical doubly periodic metric graph. When the nonlinearity power is below…