2 papers
math.AP2023
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…
math.AP2023
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…