We give the existence result and the vanishing order of the solution in 0 for the following equation: -δu(x) + (μ/|x|2)u(x) = λu(x) + u2*-1(x), where x ∈ B1, μ > 0, and the potential μ/|x|2 - λ is positive in B 1.
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Chen, S., & Li, S. (2004). An elliptic problem with critical exponent and positive hardy potential. Abstract and Applied Analysis, 2004(2), 91–98. https://doi.org/10.1155/S1085337504311036