Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional p-Laplacian

The singular boundary value problem is studied in this paper where Φ(s) = s p−2s, p > 1. The singularity may appear at u = 0, t = 0, and t = 1, and the function g may be superlinear at u = ∞ and change sign. The existence of solutions is obtained via an upper and lower solutions method.