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

共 48 条

[1] Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
Alday, Luis F.
Maldacena, Juan
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (11):
[2] THE REGULARITY PROBLEM FOR GENERALIZED HARMONIC MAPS INTO HOMOGENEOUS SPACES
ALMEIDA, L
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1995, 3 (02): : 193 - 242
[3] [Anonymous], 1983, SEMIRIEMANNIAN GEOME
[4] [Anonymous], 1993, PRINCETON MATH SER
[5] [Anonymous], 1998, J GEOM ANAL, DOI DOI 10.1007/BF02921797
[6] Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups
Balan, V
Dorfmeister, J
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2005, 57 (01) : 69 - 94
[7] ON THE SINGULAR SET OF STATIONARY HARMONIC MAPS
BETHUEL, F
[J]. MANUSCRIPTA MATHEMATICA, 1993, 78 (04) : 417 - 443
[8] BRYANT RL, 1984, J DIFFER GEOM, V20, P23
[9] CONTINUITY OF SOLUTIONS OF UNIFORMLY ELLIPTIC-EQUATIONS IN R2
CHANILLO, S
LI, YY
[J]. MANUSCRIPTA MATHEMATICA, 1992, 77 (04) : 415 - 433
[10] SOBOLEV INEQUALITIES INVOLVING DIVERGENCE FREE-MAPS
CHANILLO, S
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (12) : 1969 - 1994

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