Proves existence of ground states for defocusing NLS with point interaction at small masses in 2D and 3D, plus qualitative properties.
Asymptotic Stability of Solitary Waves for the 1d NLS with an Attractive Delta Potential
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Ground states of the defocusing nonlinear Schr\"{o}dinger equation with a point interaction in dimensions 2 and 3
Proves existence of ground states for defocusing NLS with point interaction at small masses in 2D and 3D, plus qualitative properties.