Iterative method for solving a nonlinear Robin problem

In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on $\mathrm{\Omega }$ an open bounded domain of ${\mathbb{R}}^d$, and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of ${\mathbb{R}}^2$. We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on $\mathrm{\partial }\mathrm{\Omega }$.