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arXiv · 2603.00339

Laplace problem with an exponential nonlinear boundary condition

Jamel Benameur·Chokri Elhechmi·Gmar Benhenda
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Abstract

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.

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Jamel Benameur, Chokri Elhechmi, Gmar Benhenda. 2026-02-27. Laplace problem with an exponential nonlinear boundary condition. https://arxiv.org/abs/2603.00339

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