Iterative properties of solution for a general singular n-Hessian equation with decreasing nonlinearity

Abstract In this paper, we consider the iterative properties of solution for a general singular n -Hessian equation with decreasing nonlinearity. By introducing a double iterative technique, we firstly establish the criterion of the existence for unique solution, and then study the converges properties of solution as well as error estimation and the convergence rate between iterative value and exact solution. Different from the existing work, the nonlinear term here is a non-increasing function with high singularity at some time and space variables.