Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator

where B = {x ∈ Rn : |x| < } is the unit ball in Rn and Du = ( ∂u ∂xi∂xj ) is the Hessian of u, λ is a nonnegative parameter and f : R→ R is a continuous function. The study of problem (.) in general domains of Rn may be found in [, ]. Kutev [] investigated the existence of strictly convex radial solutions of problem (.) when f (u) = up. Delanoë [] treated the existence of convex radial solutions of problem (.) for a class of