Nonnegative radial solutions to a class of elliptic equations involving the Pucci’s extremal operator

In this article we use Leray–Schauder degree to consider the existence of nonnegative radially symmetric solution for the nonlinear elliptic equation M ± λ,Λ(D2y) + f (|x|, y) = 0 in BR, y = 0 on ∂BR, where M ± λ,Λ denotes the Pucci’s extremal operators with parameters 0 < λ Λ and BR is the ball of radius R in RN, N 3. As an application we can obtain the results to equation M ± λ,Λ(u) + up −uq = 0, where 1