Laplace problem with an exponential nonlinear boundary condition

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Jamel Benameur, Chokri Elhechmi, Gmar Benhenda
DOI: 10.48550/arxiv.2603.00339
Cited by: 0

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis

Publication details

Journal / source
arXiv (Cornell University)
Publication date
27 February 2026
Language
EN
Document type
Preprint