Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 01, pp. 1-7.

Title: An $\epsilon$-regularity result for generalized 
       harmonic maps into spheres

Author: Roger Moser  (MPI for Math. in the Sciences, Leipzig, Germany)
         
Abstract: 
  For $m,n \ge 2$ and $1 < p < 2$, we prove that a map 
  $u \in
W_\mathrm{loc}^{1,p}(\Omega,\mathbb{S}^{n - 1})$
  from an open domain    $\Omega \subset \mathbb{R}^m$
  into the unit $(n - 1)$-sphere, which solves
  a generalized version of the harmonic map equation,
  is smooth, provided that $2 - p$ and 
  $[u]_{\mathrm{BMO}(\Omega)}$ are both    sufficiently
small. 
  This extends a result of Almeida [1]. 
  The proof is based
on an inverse Holder inequality technique. 
   
Submitted December 13, 2002. Published January 2, 2003.
Math Subject Classifications: 58E20.
Key Words: Generalized harmonic maps; regularity.