Asymptotic behavior at infinity of Weingarten surfaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866914331963162624 |
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| author | Barbieri, Aires E. M. Gálvez, José A. Lian, Yuanyuan Zhang, Kai |
| author_facet | Barbieri, Aires E. M. Gálvez, José A. Lian, Yuanyuan Zhang, Kai |
| contents | We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in $\mathbb{R}^3$, and we establish a maximum principle at infinity. Furthermore, we solve the Dirichlet problem for the uniformly elliptic Weingarten equation in dimension two on strictly convex bounded domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14651 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior at infinity of Weingarten surfaces Barbieri, Aires E. M. Gálvez, José A. Lian, Yuanyuan Zhang, Kai Differential Geometry Analysis of PDEs 53A10, 53C42, 35J15, 35J60 We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in $\mathbb{R}^3$, and we establish a maximum principle at infinity. Furthermore, we solve the Dirichlet problem for the uniformly elliptic Weingarten equation in dimension two on strictly convex bounded domains. |
| title | Asymptotic behavior at infinity of Weingarten surfaces |
| topic | Differential Geometry Analysis of PDEs 53A10, 53C42, 35J15, 35J60 |
| url | https://arxiv.org/abs/2602.14651 |