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An explicitly solvable NLS model with discontinuous standing waves
Riccardo Adami, Filippo Boni, Takaaki Nakamura +1
We study the NLS Equation on the line with a point interaction given by the superposition of an attractive delta potential with a dipole interaction, in the cases of -subcriti…
Discontinuous Ground States for NLSE on with a Fülöp-Tsutsui interaction
Riccardo Adami, Takaaki Nakamura, Alice Ruighi
We analyse the existence and the stability of the ground states of the one-dimensional nonlinear Schrödinger equation with a focusing power nonlinearity and a defect located at the…
Non-Kirchhoff Vertices and NLS Ground States on graphs
Riccardo Adami, Filippo Boni, Alice Ruighi
We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices whe…
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…