A note on boundary regularity of subelliptic harmonic maps

Abstract

Let M^m = Ω be a bounded domain of R^m. Jost and Xu in [7] introduced the subelliptic harmonic map from it and proved the regularity up to the boundary of subelliptic harmonic maps into small balls supposing that the boundary of the domain is noncharacteristic and smooth. In this note, we investigate the boundary regularity of this kind of maps from Ω with non-smooth and partial noncharacteristic boundary.