<p>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).</p>

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An iterative method for nonlinear elliptic PDEs with polynomial robin boundary conditions

  • Chokri Elhechmi

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).