Two Infinite Families of Solutions for Singular Superlinear Equations on Exterior Domains

In this paper, we study radial solutions of u + K (|x|) f (u) = 0 in the exterior of the ball of radius R > 0 in RN with N > 2 where f grows superlinearly at infinity and is singular at 0 with f 1|u|^{q-1u} where 0 < q < 1. We also assume K (r) |r|^- for large r and establish the existence of two infinite families of solutions when N + q (N-2) < < 2 (N-1).