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.
Existence of Normalized Solutions for the Planar Schr¨ odinger-Poisson System with Exponential Critical Nonlinearity
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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.