Asymptotic behavior at infinity of Weingarten surfaces
Differential Geometry
2026-02-17 v1 Analysis of PDEs
Abstract
We derive the asymptotic expansion at infinity for embedded ends of uniformly elliptic Weingarten surfaces with finite total curvature in , 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.
Cite
@article{arxiv.2602.14651,
title = {Asymptotic behavior at infinity of Weingarten surfaces},
author = {Aires E. M. Barbieri and José A. Gálvez and Yuanyuan Lian and Kai Zhang},
journal= {arXiv preprint arXiv:2602.14651},
year = {2026}
}