Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

In this paper, by using Leray-Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C-1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of type div(del v-root 1 - vertical bar del v vertical bar(2)) + f(vertical bar x vertical bar, v) = 0 in B(R), v = 0 on partial derivative B(R). Here, B(R) = {x is an element of R-N: vertical bar x vertical bar < R} and f : [0, R] x [0, alpha) -> R is a continuous function, which is positive on (0, R] x (0, alpha). (C) 2012 Elsevier Inc. All rights reserved.