15:{"metadata":[["$","title","0",{"children":"Positive solutions for nonlinear Choquard equation with singular nonlinearity"}],["$","meta","1",{"name":"description","content":"In this article, we study the following nonlinear Choquard equation with singular nonlinearity \\begin{equation*} \\quad -\\De u = \\la u^{-q} + \\left( \\int_{\\Om}\\frac{|u|^{2^*_{\\mu}}}{|x-y|^{\\mu}}\\mathrm{d}y \\right)|u|^{2^*_{\\mu}-2}u, \\quad u>0 \\; \\text{in}\\; \\Om,\\quad u = 0 \\; \\mbox{on}\\; \\partial\\Om, \\end{equation*} where $\\Om$ is a bounded domain in $\\mb{R}^n$ with smooth boundary $\\partial \\Om$, $n > 2,\\; \\la >0,\\; 0 < q < 1, \\; 0<\\mu0 \\; \\text{in}\\; \\Om,\\quad u = 0 \\; \\mbox{on}\\; \\partial\\Om, \\end{equation*} where $\\Om$ is a bounded domain in $\\mb{R}^n$ with smooth boundary $\\partial \\Om$, $n > 2,\\; \\la >0,\\; 0 < q < 1, \\; 0<\\mu0 \\; \\text{in}\\; \\Om,\\quad u = 0 \\; \\mbox{on}\\; \\partial\\Om, \\end{equation*} where $\\Om$ is a bounded domain in $\\mb{R}^n$ with smooth boundary $\\partial \\Om$, $n > 2,\\; \\la >0,\\; 0 < q < 1, \\; 0<\\mu