35 citations · 172 across the 33 of their papers we have counts for
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Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects
Filippo Boni, Simone Dovetta, Enrico Serra
We investigate the existence of normalized ground states for Schrödinger equations on noncompact metric graphs in presence of nonlinear point defects, described by nonlinear -in…
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs
Haixia Chen, Simone Dovetta, Angela Pistoia +1
We establish existence and multiplicity of one-peaked and multi-peaked positive bound states for nonlinear Schrödinger equations on general compact and noncompact metric graphs. Pr…
Constant sign and sign changing NLS ground states on noncompact metric graphs
Colette De Coster, Simone Dovetta, Damien Galant +2
We investigate existence and nonexistence of action ground states and nodal action ground states for the nonlinear Schrödinger equation on noncompact metric graphs with rather gene…
Singular limit of periodic metric grids
Simone Dovetta
We investigate the asymptotic behaviour of nonlinear Schrödinger ground states on -dimensional periodic metric grids in the limit for the length of the edges going to zero. We p…
On the notion of ground state for nonlinear Schrödinger equations on metric graphs
Colette De Coster, Simone Dovetta, Damien Galant +1
We compare ground states for the nonlinear Schrödinger equation on metric graphs, defined as global minimizers of the action functional constrained on the Nehari manifold, and leas…