The Bernstein problem for (X, Y )-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups

被引：1
作者：
Giovannardi, Gianmarco [1 ]
Ritore, Manuel [2 ,3 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgani 67-A, I-50134 Florence, Italy
[2] Univ Granada, Dept Geometria & Topol, Granada, Spain
[3] Univ Granada, Res Unit MNat, Granada, Spain
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2024年 / 26卷 / 09期
基金：
欧盟地平线“2020”;
关键词：
Heisenberg group; area-stationary surfaces; sub-Finsler structure; stable surfaces; Bernstein problem; sub-Finsler perimeter; AREA-STATIONARY; MEAN-CURVATURE; LIPSCHITZ BOUNDARIES; STABLE SURFACES; MINIMAL GRAPHS; REGULARITY; PERIMETER; EXISTENCE; C-1;
D O I：
10.1142/S0219199723500487
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the Heisenberg group H-1 with a sub-Finsler structure, an (X, Y )-Lipschitz surface which is complete, oriented, connected and stable must be a vertical plane. In particular, the result holds for entire intrinsic graphs of Euclidean Lipschitz functions.
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页数：38
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