Asymptotic behavior at infinity of Weingarten surfaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Aires E. M. Barbieri, José A. Gálvez, Yuanyuan Lian, Kai Zhang
DOI: 10.48550/arxiv.2602.14651
Cited by: 0

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Nonlinear Partial Differential Equations

Publication details

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