Nonlocal Pertubations of Fractional Choquard Equation

Gurpreet Singh

We study the equation \begin{equation} (-Δ)^{s}u+V(x)u= (I_α*|u|^{p})|u|^{p-2}u+λ(I_β*|u|^{q})|u|^{q-2}u \quad\mbox{ in } \R^{N}, \end{equation} where $I_{\gamma }(x)=|x{|}^{-\gamma }$ for any $γ\…