arXiv subjects

Chokri Elhechmi

Publications and source records attributed to Chokri Elhechmi.

2 recordsLinked to original sources

arXiv2026

Laplace problem with an exponential nonlinear boundary condition

In this paper, we establish a new result for the Laplace problem with exponential Robin boundary conditions posed on the unit disk in $\R^2$. More precisely, we prove the existence and uniqueness of a solution under suitable smallness assumptions on the boundary data. Our approach relies on an iterative method combined with periodic Sobolev embedding results.

math.AP↗

arXiv2024

Iterative method for solving a nonlinear Robin problem

In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on $Ω$ an open bounded domain of $\R^d$, 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 $\R^2$. We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on $\partialΩ$.

math.AP↗