%0 Journal Article
%T A Remark on Nonlinear Dirac Equations
%A Changyou Wang
%J Mathematics
%D 2008
%I arXiv
%X For a $n$-dimensional spin manifold $M$ with a fixed spin structure and a spinor bundle $\Sigma M$, we prove an $\epsilon$-regularity theorem for weak solutions to the nonlinear Dirac equation of cubic nonlinearity. This, in particular, answers a regularity question raised by Chen-Jost-Wang when $n=2$.
%U http://arxiv.org/abs/0810.2051v1