On the standing waves of the Schroedinger equation with concentrated nonlinearity

Abba Ramadan, Atanas G. Stefanov

We study the concentrated NLS on ${\mathbf{R}}^n$, with power non-linearities, driven by the fractional Laplacian, $(-\Delta {)}^s,s>\frac{n}{2}$. We construct the solitary waves explicitl…