Abstract
We study the existence of positive solutions of the following nonlinear equation: 1/A(A Phi (p)(u'))' = (.,u), in (0, omega), where p > 1, omega is an element of (0, infinity], Phi(p)(x) = x vertical bar x vertical bar(p-2) and A satisfies some appropriate conditions. Our purpose is to give two existence results for the above equation subject to some boundary conditions, where the nonlinear term phi is a nonnegative continuous function in [0, omega) x (0, infinity), satisfying some adequate hypotheses. (C) 2008 Elsevier Ltd. All rights reserved.