## Silvana Marchi $C^{1,\alpha }$ local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case $1+\frac {1}{\sqrt {5}} <p\le 2$

Comment.Math.Univ.Carolinae 44,1 (2003) 33-56.

Abstract:We prove the H\"{o}lder continuity of the homogeneous gradient of the weak solutions $u\in W_{loc}^{1,p}$ of the p-Laplacian on the Heisenberg group $\Cal H^n$, for $1+\frac {1}{\sqrt {5}} <p\le 2$.

Keywords: degenerate elliptic equations, weak solutions, regularity, higher differentiability
AMS Subject Classification: 35D10, 35J60, 35J70