Positive solution of three-point boundary value problem for the one-dimensional p-Laplacian with singularities

In the paper, we deal with positive solutions of the following nonlinear three-point singular boundary value problem with a p-Laplacian operator: φp(u ) +q(t)f (t,u) = 0, 0 < t <1, subject to u(0) − g u (0) = 0, u(1) −βu(η) = 0, or u(0) − αu(η) = 0, u(1) −g u (1) = 0, where f (t,u) may be singular at u = 0 and q(t) may be singular at t = 0, 1. New existence principles are established. © 2005 Elsevier Inc. All rights reserved.