Dirichlet problem for weakly harmonic maps with rough data

Gael Diebou Yomgne, Herbert Koch

Weakly harmonic maps from a domain $\Omega$ (the upper half-space $\Rd$ or a bounded $C^{1,\alpha }$ domain, $\alpha \in (0,1]$) into a smooth closed manifold are studied. Prescribing small Dirichl…