Instability of Type (II) Lawson-Osserman cones

被引：0
|
作者：
Nie, Zhaohu [1 ]
Zhang, Yongsheng [2 ]
机构：
[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 09期
关键词：
49Q05; 58E20; 53A10; 53C42; MINIMAL IMMERSIONS;
D O I：
10.1007/s00526-024-02834-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove instability of Type (II) Lawson-Osserman cones in Euclidean spaces, and thus provide a family of (uncountably many) non-smooth unstable minimal graphs of high codimension versus smooth unstable ones by Lawson-Osserman using a min-max technique. To our knowledge, these are the first examples of non-smooth unstable minimal graphs .
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页数：16
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