New area-minimizing Lawson-Osserman cones
New area-minimizing Lawson-Osserman cones
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新面积最小化 Lawson-Osserman 锥体
DOI：
10.1016/j.aim.2018.03.021
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发表时间：
2018
影响因子：
1.7
通讯作者：
Zhang Yongsheng
中科院分区：
文献类型：
--
作者：
Xu Xiaowei;Yang Ling;Zhang Yongsheng
自从Lawson和Osserman在1977年的Acta论文中引入与Dirichlet问题相关的三个最小锥以来，已经过去了40年。第一个锥体是由哈维和劳森在著名的纸b[10]中展示的面积最小化。在本文中，我们证实了另外两种方法也是面积最小化的。实际上，我们证明了在[26]中构造的（n, p, 2）类型的每个Lawson-Osserman锥都是面积最小化的。
It has been 40 years since Lawson and Osserman introduced the three minimal cones associated with Dirichlet problems in their 1977 Acta paper [13]. The first cone was shown area-minimizing by Harvey and Lawson in the celebrated paper [10]. In this paper, we confirm that the other two are also area-minimizing. In fact, we show that every Lawson–Osserman cone of type (n, p, 2) constructed in [26] is area-minimizing.