$C^{1,\alpha }$-Regularity of energy minimizing maps from a 2-dimentional domain into a Finsler space

We show $C^{1,\alpha }$-regularity for energy minimizing maps from a 2-dimensional Riemannian manifold into a Finsler space $({\mathbb{R}}^n,F)$ with a Finsler structure $F(u,X)$.