80 citations · 306 across the 17 of their papers we have counts for
19 papers
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…
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…
Action versus energy ground states in nonlinear Schrödinger equations
Simone Dovetta, Enrico Serra, Paolo Tilli
We investigate the relations between normalized critical points of the nonlinear Schrödinger energy functional and critical points of the corresponding action functional on the ass…
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra, Paolo Tilli
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are…
Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
Simone Dovetta, Enrico Serra, Paolo Tilli
We consider the problem of uniqueness of ground states of prescribed mass for the Nonlinear Schrödinger Energy with power nonlinearity on noncompact metric graphs. We first establi…
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…