A NOTABLE FAMILY OF ENTIRE INTRINSIC MINIMAL GRAPHS IN THE HEISENBERG GROUP WHICH ARE NOT PERIMETER MINIMIZING

被引：20

作者：

Danielli, D. ^{[1
]}

Garofalo, N. ^{[1
]}

Nhieu, D. M. ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] San Diego Christian Coll, Dept Math, El Cajon, CA 92019 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2008年 / 130卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1353/ajm.2008.0013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One of the main objectives of this paper is to unravel it new interesting phenomenon of the sub-Riemannian Bernstein problem with respect to its Euclidean ancestor, with the purpose of also indicating a possible line of attack toward its solution. We show that the global intrinsic graphs (1.2) are unstable critical points of the horizontal perimeter. As a consequence of this fact, the study of the stability acquires a central position in the problem itself.

引用

页码：317 / 339

页数：23

共 59 条

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