Some regularity results for $p$-harmonic mappings between Riemannian manifolds

Chang-Yu Guo, Chang-Lin Xiang

Let $M$ be a $C^2$-smooth Riemannian manifold with boundary and $N$ a complete $C^2$-smooth Riemannian manifold. We show that each stationary $p$-harmonic mapping $u:M\to N$,…