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

AbstractIn this paper, by using Leray–Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of typediv(∇v1−|∇v|2)+f(|x|,v)=0in B(R),v=0on ∂B(R). Here, B(R)={x∈RN:|x|