Two examples of harmonic maps into spheres

被引：5
|
作者：
Misawa, Masashi [1 ]
Nakauchi, Nobumitsu [2 ]
机构：
[1] Kumamoto Univ, Fac Adv Sci & Technol, Dept Math, 2-39-1 Kurokami, Kumamoto 8608555, Japan
[2] Yamaguchi Univ, Grad Sch Sci & Technol Innovat, Yamaguchi 7538512, Japan
来源：
ADVANCES IN GEOMETRY | 2022年 / 22卷 / 01期
基金：
日本学术振兴会;
关键词：
Harmonic map; ELLIPTIC-SYSTEMS; STATIONARY MAPS; WEAK SOLUTIONS; REGULARITY; EXISTENCE; MAPPINGS;
D O I：
10.1515/advgeom-2021-0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The radial map w(x) = x ||x||(-1) is a well-known example of harmonic maps and p-harmonic ones into spheres with a point singularity. In this paper we give two examples of harmonic maps and p-harmonic ones into spheres of higher dimensions with the singularity x(i)x(j) ||x||(-2) or the singularity x(i)x(j)x(k) ||x||(-3).
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页码：23 / 31
页数：9
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