Coron problem for nonlocal equations invloving Choquard nonlinearity

We study the problem $$-\text{De}u=\left({\int }_{\text{Om}}\frac{\mathrm{\mid }u(y){\mathrm{\mid }}^{2_{\mu }^{\ast }}}{\mathrm{\mid }x-y{\mathrm{\mid }}^{\mu }}dy\right)\mathrm{\mid }u{\mathrm{\mid }}^{2_{\mu }^{\ast }-2}u,\text{in}\text{Om},u=0\text{ on }\text{pa}\text{Om},$$ where $\text{Om}$ is a smooth bounded domain in ${\mathbb{R}}^N(N\ge 3)$, $2_{\mu }^{\ast }=\frac{2N-\mu }{N-2}$. we prove the existence of a positive solution of the above problem in an annular type domain when the inner hole is sufficiently small.