A remark on the existence of solutions to a (k1,k2)-Hessian system with convection term

Abstract

In this paper, two new results and short proofs are given for the existence of positive entire large and bounded radial positive solutions for the following nonlinear system with gradient termwhere S k i λ D 2 ui is the ki-Hessian operator, b1, p1, f1, b2, p2 and f2 are continuous functions satisfying certain properties. Our results complete and improve a recently work published by Zhang and Zhou. The main difficulty in dealing with our system is the presence of the convection term.