An iterative method for nonlinear elliptic PDEs with polynomial robin boundary conditions
摘要
We investigate an elliptic partial differential equation subject to a polynomial Robin boundary condition. We establish existence and uniqueness of solutions and develop an iterative scheme for their construction. This approach generalizes a recent result by Benameur and Elhechmi (Math Methods Appl Sci 48(12):11906–11914, 2025).