Regularity for harmonic maps into certain pseudo-Riemannian manifolds

被引：17
|
作者：
Zhu, Miaomiao [1 ]
机构：
[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2013年 / 99卷 / 01期
关键词：
Harmonic map; Regularity; Lorentzian manifold; Pseudo-Riemannian manifold; WEAK SOLUTIONS; CONSERVATION-LAWS; SURFACE; EVOLUTION; THEOREM; SPACES;
D O I：
10.1016/j.matpur.2012.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the regularity for certain elliptic systems without an L-2-antisymmetric structure. As applications, we prove some regularity results for weakly harmonic maps from the unit ball B = B(m) subset of R-m (m >= 2) into certain pseudo-Riemannian manifolds. (C) 2012 Elsevier Masson SAS. All rights reserved.
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页码：106 / 123
页数：18
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