Positive solutions for a system of p-Laplacian boundary value problems

This paper is concerned with the existence and multiplicity of positive solutions for the system of p-Laplacian boundary value problems -((u(i)')(pi-1))' = f(i)(t, u(l),...,u(n)), u(i)'(1) = 0, i = 1,...,n, where n >= 2, p(i) > 1, f(i) is an element of C([0, 1] x R-+(n))(i = 1,...,n, R+ : = [0, infinity)). Based on a priori estimates achieved by utilizing the Jensen integral inequalities and R-+(n)-monotone matrices, we use fixed point index theory to establish the existence and multiplicity of positive solutions for the above problem. (C) 2011 Elsevier Ltd. All rights reserved.