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arXiv · 2602.14651

Asymptotic behavior at infinity of Weingarten surfaces

Aires E. M. Barbieri·José A. Gálvez·Yuanyuan Lian·Kai Zhang
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Abstract

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.

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Aires E. M. Barbieri, José A. Gálvez, Yuanyuan Lian, Kai Zhang. 2026-02-16. Asymptotic behavior at infinity of Weingarten surfaces. https://arxiv.org/abs/2602.14651

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