We produce a detailed proof of a result of C.V. Coffman and W.K. Ziemer on the existence of positive solutions of the Dirichlet problem for the prescribed mean curvature equation -div({\nabla u}/{ \sqrt{1+{|\nabla u|}^2}}) = \lambda f(x,u) in \Omega,u=0 on \partial \Omega, assuming that f has a superlinear behaviour at u=0.
