Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 124018, 9 pages
doi:10.1155/2010/124018
Research Article

A-Harmonic Equations and the Dirac Operator

Craig A. Nolder

Department of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USA

Received 2 January 2010; Accepted 14 March 2010

Academic Editor: Yuming Xing

Copyright © 2010 Craig A. Nolder. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show how A-harmonic equations arise as components of Dirac systems. We generalize A-harmonic equations to A-Dirac equations. Removability theorems are proved for solutions to A-Dirac equations.