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In this paper we study the existence of multiple positive solutions and the bifurcation problem for the following equation: We show that there are positive constants µ * and µ * * such that the above equation possesses at least two positive solutions for µ ∈ (0, µ * ), and no positive solution for µ > µ * * . Furthermore, we prove that µ = µ * is a bifurcation point for the equation under study.doi:10.1017/s0013091502000779 fatcat:sxltctoxybctrhunve5fngz7be