Positive solutions for a system of second-order quasilinear boundary value problems

In this paper we study the existence and multiplicity of positive solutions for the system of second-order quasilinear boundary value problems {-((u')(p-1))' = f(t,u,upsilon), -((nu')(q-1))' = f(t,u,upsilon), u(0) = u'(1) = 0, u(0) = nu'(1) = 0, where p, q > 1 and f, g is an element of C([0, 1] x R-+(2), R+)(R+ := [0,infinity)). Based on a priori estimates achieved by utilizing Jensen's inequality for nonnegative concave functions and homogeneous operators, we use fixed point index theory to establish the main results. (C) 2020 Published by Elsevier Ltd.