Nonlinear Dirac equations on Riemann surfaces

被引：34

作者：

Chen, Qun ^{[2
]}

Jost, Juergen ^{[1
]}

Wang, Guofang ^{[3
]}

机构：

[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Univ Magdeburg, Fac Math, D-39106 Magdeburg, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2008年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Dirac equation; regularity; energy identity;

D O I：

10.1007/s10455-007-9084-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We have developed analytical methods for nonlinear Dirac equations. Examples of such equations include Dirac-harmonic maps with curvature term and the equations describing the generalized Weierstrass representation of surfaces in three-manifolds. We have provided the key analytical steps, i.e., small energy regularity and removable singularity theorems and energy identities for solutions.

引用

页码：253 / 270

页数：18

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