Analysis and Numerical Approximation of a Singular Boundary Value Problem for the One-dimensional p-Laplacian

Abstract: In this work we are concerned about a singular boundary value problem involving the p-laplacian which arises in mathematical models of fluid mechanics. We analyze the asymptotic behavior of the solutions of the considered ordinary differential equation near the singularities and introduce a computational method which takes this behavior into account. Key–Words: Singular boundary value problem, p-laplacian, upper and lower solutions, one-parameter families of solutions, asymptotic expansions.