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math.AP2025
Trapping by repulsion: the NLS with a delta-prime
Riccardo Adami, Filippo Boni, Matteo Gallone
We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focus…
math.AP2023
Two dimensional NLS ground states with attractive Coulomb potential and point interaction
Filippo Boni, Matteo Gallone
We study the existence and the properties of ground states at fixed mass for a focusing nonlinear Schrödinger equation in dimension two with a point interaction, an attractive Coul…