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We prove the existence of a positive solution for singular elliptic problems of the type − Δu = α(x)u−β + λf(x, u) in Ω, u| ∂Ω = 0, where β is any positive real number.
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Giovanni Anello, An existence theorem for a perturbed singular elliptic problem. Port. Math. 66 (2009), no. 1, pp. 107–114DOI 10.4171/PM/1834