  A $p$-Laplacian elliptic problem in the presence of both strongly singular
and $(p-1)$-superlinear nonlinearities is considered. We employ bifurcation
theory, approximation techniques and sub-supersolution method to establish the
existence of an unbounded branch of positive solutions, which is bounded in
positive $\lambda-$direction and bifurcates from infinity at $\lambda=0$. As
consequence of the bifurcation result, we determine intervals of existence,
nonexistence and, in particular cases, global multiplicity.
