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MiS Preprint
42/2007

Nonlinear Dirac equations on Riemann surfaces

Qun Chen, Jürgen Jost and Guofang Wang

Abstract

We develop 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 provide the key analytical steps, i.e., small energy regularity and removable singularity theorems and energy identities for solutions.

Received:
Apr 24, 2007
Published:
Apr 24, 2007
MSC Codes:
58J05, 53C27
Keywords:
Dirac equation, regularity, energy identity

Related publications

inJournal
2008 Journal Open Access
Qun Chen, Jürgen Jost and Guofang Wang

Nonlinear Dirac equations on Riemann surfaces

In: Annals of global analysis and geometry, 33 (2008) 3, pp. 253-270