# Article

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Keywords:
degenerate elliptic equations; weak solutions; regularity; higher differentiability
Summary:
We prove the Hölder continuity of the homogeneous gradient of the weak solutions $u\in W_{\operatorname{loc}}^{1,p}$ of the p-Laplacian on the Heisenberg group $\Cal H^n$, for $1+\frac{1}{\sqrt{5}} <p\le 2$.
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