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

Abstract

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