Uniqueness of positive solutions with Concentration for the Schrödinger-Newton problem

Peng Luo, Shuangjie Peng, Chunhua Wang

We are concerned with the following Schrödinger-Newton problem \begin{equation} -\varepsilon^2Δu+V(x)u=\frac{1}{8π\varepsilon^2} \big(\int_{\mathbb R^3}\frac{u^2(ξ)}{|x-ξ|}dξ\big)u…