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-\\Delta_{\\mathbb{H}}u=\\left(\\int_{\\mathbb{H}^{n}}\\frac{|u(\\eta)|^{Q^{\\ast}_{\\mu}}}{|\\eta^{-1}\\xi|^{\\mu}}\\mathrm{d}\\eta\\right)|u|^{Q^{\\ast}_{\\mu}-2}u,~~~\\xi,\\eta\\in\\mathbb{H}^{n}, \\end{equation} where $\\Delta_{\\mathbb{H}}$ represents the Kohn Laplacian, $u(\\eta)$ is a real-valued function, $Q=2n+2$ is the homogeneous dimension of $\\mathbb{H}^{n}$, $\\mu\\in (0,Q)$ is a real parameter and 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