Existence and uniqueness of stable, radially symmetric positive standing waves for defocusing NLS with point interaction in 2D and 3D, plus sharp decay in the zero-mass case.
Fukaya,Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction, NoDEA Nonlinear Differential Equations Appl.32(2025), Paper No
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Standing waves for defocusing nonlinear Schr\"odinger equations with point interaction
Existence and uniqueness of stable, radially symmetric positive standing waves for defocusing NLS with point interaction in 2D and 3D, plus sharp decay in the zero-mass case.