$C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}
Marchi, Silvana
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 33-56 / Harvested from Czech Digital Mathematics Library
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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}}

Publié le : 2003-01-01
Classification:  35B65,  35D10,  35H20,  35J60,  35J70 
@article{119366,
     author = {Silvana Marchi},
     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},
     volume = {44},
     year = {2003},
     pages = {33-56},
     zbl = {1098.35055},
     mrnumber = {2045844},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119366}
}

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}}

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