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u=\\lambda(K(x)u^{-\\delta}+f(u))\\mbox{ in }\\Omega &u>0 \\mbox{ in }\\Omega & u\\equiv\\, 0\\mbox{ in }\\R^N\\backslash\\Omega. \\end{array}\\right. \\end{eqnarray*} % Here $0<s<1$, $\\delta>0$, $\\lambda>0$ and $f\\,:\\, \\R^+\\to\\R^+$ is a positive $C^2$ function. $K\\,:\\, \\Omega\\to \\R^+$ is a H\\\"older continuous function in $\\Omega$ which behave as ${\\rm 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