Concentration Behavior of Nonlinear Hartree-type Equation with almost Mass Critical Exponent

Yuan Li, Dun Zhao, Qingxuan Wang

We study the following nonlinear Hartree-type equation \begin{equation*} -Δu+V(x)u-a(\frac{1}{|x|^γ}\ast |u|^2)u=λu,~\text{in}~\mathbb{R}^N, \end{equation*} where $a>0$, $N\ge 3$,…