Proves existence of ground states for defocusing NLS with point interaction at small masses in 2D and 3D, plus qualitative properties.
Standing Waves and Global Well-Posedness for the 2d Hartree Equa- tion with a Point Interaction
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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.