Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang

We consider a $C^1$ smooth surface with prescribed $p$(or $H$)-mean curvature in the 3-dimensional Heisenberg group. Assuming only the prescribed $p$-mean curvature $H\in C^0,$…