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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 ∇vHere, B(R) = {x ∈ R N : |x| < R} and f : [0, R] × [0, α) → R is a continuous function, which is positive on (0, R] × (0, α).

Abstract. In this paper, using the Schauder fixed point theorem, we prove existence results of radial solutions for Dirichlet problems in the unit ball and in an annular domain, associated to mean curvature operators in Euclidean and Minkowski spaces.

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In this paper we consider the Dirichlet problem with mean curvature operator in Minkowski space :where Ω ⊂ ℝ