Singular Radial Positive Solutions for Nonlinear Elliptic Systems

In this paper we study the existence and nonexistence of positive singular radial solutions of the Dirichlet p-Laplacian system

where N> max(p, q), p,q > 1, as well as the solution's behavior near zero. Here, Ω is the unit ball of R^Nexcept for the center zero, and f, g are nonnegative continuous functions. We use Leray–Schauder's theorem and a method of monotone iterations to prove existence, and we will be concerned with the study of the asymptotic behavior of solutions. Also, we will present some suffcient conditions for nonexistence of positive solutions.