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\\alpha=1\\qquad {\\rm or\\ \\ in}\\ \\ \\Omega^c \\ \\ {\\rm if}\\ \\alpha\\in(0,1),$$\n  where $\\sigma,\\varrho\\ge0$, $\\Omega$ is an open bounded $C^2$ domain in $\\mathbb{R}^N$, $(-\\Delta)^\\alpha$ denotes the fractional Laplacian with $\\alpha\\in(0,1)$ or Laplacian operator if $\\alpha=1$, $\\nu,\\mu$ are suitable Radon measures\n  and $g:\\mathbb{R}_+\\mapsto\\mathbb{R}_+$ 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