Ground states of the defocusing nonlinear Schrödinger equation with a point interaction in dimensions 2 and 3

Short summary

This paper proves the existence of ground states for the defocusing nonlinear Schrödinger equation with a point interaction in 2D (for any inverse s-wave scattering length $\alpha$) and 3D (for $\alpha < 0$), under specific conditions on the nonlinearity parameter $p$.

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