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.

引用

页码：106 / 123

页数：18

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