Geodesic
$C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}$
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 33-56.

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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}} $.
Classification : 35B65, 35D10, 35H20, 35J60, 35J70
Keywords: degenerate elliptic equations; weak solutions; regularity; higher differentiability 
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     author = {Marchi, Silvana},
     title = {$C^{1,\alpha}$ local regularity for the solutions of the $p${-Laplacian} on the {Heisenberg} group. {The} case $1+\frac{1}{\sqrt{5}}<p\le2$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {33--56},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2003},
     mrnumber = {2045844},
     zbl = {1098.35055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2003__44_1_a3/}
}
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Marchi, Silvana. $C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}