35 citations · 172 across the 33 of their papers we have counts for
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Mass-constrained ground states of the stationary NLSE on periodic metric graphs
Simone Dovetta
We investigate the existence of ground states with fixed mass for the nonlinear Schrödinger equation with a pure power nonlinearity on periodic metric graphs. Within a variational…
One-dimensional versions of three-dimensional system: Ground states for the NLS on the spatial grid
Riccardo Adami, Simone Dovetta
We investigate the existence of ground states for the focusing Nonlinear Schrödinger Equation on the infinite three-dimensional cubic grid. We extend the result found for the analo…
-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features
Simone Dovetta, Lorenzo Tentarelli
Carrying on the discussion initiated in (Dovetta-Tentarelli'18), we investigate the existence of ground states of prescribed mass for the -critical NonLinear Schrödinger Equat…
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…
-limit of the cut functional on dense graph sequences
Andrea Braides, Paolo Cermelli, Simone Dovetta
A sequence of graphs with diverging number of nodes is a dense graph sequence if the number of edges grows approximately as for complete graphs. To each such sequence a function, c…
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…
Ground states of the -critical NLS equation with localized nonlinearity on a tadpole graph
Simone Dovetta, Lorenzo Tentarelli
The paper aims at giving a first insight on the existence/nonexistence of ground states for the -critical NLS equation on metric graphs with localized nonlinearity. In particu…