Nonlinear Dirac equations on Riemann surfaces

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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.
to appear in Annals of Global Analysis and Geometry

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Differential Geometry, Analysis of PDEs, 58J05, 53C27

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http://salesiana.dossiersoluciones.com/handle/123456789/135243

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.4386
 http://arxiv.org/abs/0707.4386

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arXiv