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math.AP2024
An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations
Colette De Coster, Simone Dovetta, Damien Galant +1
We develop a new approach to the investigation of normalized solutions for nonlinear Schrödinger equations based on the analysis of the masses of ground states of the corresponding…
math.AP2024
Non-uniqueness of normalized ground states for nonlinear Schrödinger equations on metric graphs
Simone Dovetta
We establish general non-uniqueness results for normalized ground states of nonlinear Schrödinger equations with power nonlinearity on metric graphs. Basically, we show that, whene…
math.AP2024★ 1 cited
Normalized solutions of -supercritical NLS equations on noncompact metric graphs
Simone Dovetta, Louis Jeanjean, Enrico Serra
We consider the existence of normalized solutions to nonlinear Schrödinger equations on noncompact metric graphs in the supercritical regime. For sufficiently small prescribe…