Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator

Abstract

In this paper, we consider the following nonlinear k-Hessian system [Formula presented] where G is a nonlinear operator. This paper first proves the existence of the entire positive bounded radial solutions, and secondly gives the existence and non-existence conditions of the entire positive blow-up radial solutions. Finally, we give some examples to illustrate our results.