Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space

We study the Dirichlet problem with mean curvature operator in Minkowski space div(del v/root 1 - vertical bar del v vertical bar(2)) + lambda[mu(vertical bar x vertical bar)v(q)] = 0 in B(R), v = 0 on partial derivative B(R), where lambda > 0 is a parameter, q > 1, R > 0, mu : [0, infinity) -> R is continuous, strictly positive on (0, infinity) and B(R) = {x is an element of R-N: vertical bar x vertical bar < R}. Using upper and lower solutions and Leray-Schauder degree type arguments, we prove that there exists Lambda > 0 such that the problem has zero, at least one or at least two positive radial solutions according to lambda is an element of (0, Lambda), lambda = Lambda or lambda > Lambda. Moreover, Lambda is strictly decreasing with respect to R. (C) 2013 Elsevier Inc. All rights reserved.