We consider the following nonlinear elliptic equationswhere u + = max(u, 0), M is a prescribed constant, and Ω is a bounded and smooth domain in, Ω = B R (0), the above problem has a continuum of solutions. The case when M > M (N ) * is referred to as supercritical in the literature. We show that for M near KM (N ) * , K > 1, there exist solutions with multiple condensations in Ω. These concentration points are non-degenerate critical points of a function related to the Green's function.