35 citations · 172 across the 33 of their papers we have counts for
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Peaked and low action solutions of NLS equations on graphs with terminal edges
Simone Dovetta, Marco Ghimenti, Anna Maria Micheletti +1
We consider the nonlinear Schrödinger equation with focusing power-type nonlinearity on compact graphs with at least one terminal edge, i.e. an edge ending with a vertex of degree…
Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one
Filippo Boni, Simone Dovetta
We investigate the problem of existence and uniqueness of ground states at fixed mass for two families of focusing nonlinear Schrödinger equations on the line. The first family con…
NLS ground states on metric trees: existence results and open questions
Simone Dovetta, Enrico Serra, Paolo Tilli
We consider the minimization of the NLS energy on a metric tree, either rooted or unrooted, subject to a mass constraint. With respect to the same problem on other types of metric…
Quantum graphs and dimensional crossover: the honeycomb
Riccardo Adami, Simone Dovetta, Alice Ruighi
We summarize features and results on the problem of the existence of Ground States for the Nonlinear Schrödinger Equation on doubly-periodic metric graphs. We extend the results kn…