Laplace problem with an exponential nonlinear boundary condition
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917300556267520 |
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| author | Benameur, Jamel Elhechmi, Chokri Benhenda, Gmar |
| author_facet | Benameur, Jamel Elhechmi, Chokri Benhenda, Gmar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00339 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Laplace problem with an exponential nonlinear boundary condition Benameur, Jamel Elhechmi, Chokri Benhenda, Gmar Analysis of PDEs 35-XX, 35A01, 35A02, 46E36, 46F05 G.1.8 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. |
| title | Laplace problem with an exponential nonlinear boundary condition |
| topic | Analysis of PDEs 35-XX, 35A01, 35A02, 46E36, 46F05 G.1.8 |
| url | https://arxiv.org/abs/2603.00339 |