The paper proves existence of ground states for the planar nonlinear Schrödinger-Newton system with point interaction under sufficient conditions on p, α, β and mass c, and links critical points to standing waves.
The Concentration-Compactness Principle in the Calculus of Variations. The Locally Compact Case, Part 1
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Ground states of the planar nonlinear Schr\"odinger--Newton system with a point interaction
The paper proves existence of ground states for the planar nonlinear Schrödinger-Newton system with point interaction under sufficient conditions on p, α, β and mass c, and links critical points to standing waves.