Laplace problem with an exponential nonlinear boundary condition
Analysis of PDEs
2026-03-03 v1
Abstract
In this paper, we establish a new result for the Laplace problem with exponential Robin boundary conditions posed on the unit disk in . 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.
Keywords
Cite
@article{arxiv.2603.00339,
title = {Laplace problem with an exponential nonlinear boundary condition},
author = {Jamel Benameur and Chokri Elhechmi and Gmar Benhenda},
journal= {arXiv preprint arXiv:2603.00339},
year = {2026}
}
Comments
21 pages