| Title:
|
$C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}<p\le2$ (English) |
| Author:
|
Marchi, Silvana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
33-56 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 $1+\frac{1}{\sqrt{5}} <p\le 2$. (English) |
| Keyword:
|
degenerate elliptic equations |
| Keyword:
|
weak solutions |
| Keyword:
|
regularity |
| Keyword:
|
higher differentiability |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35H20 |
| MSC:
|
35J60 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 1098.35055 |
| idMR:
|
MR2045844 |
| . |
| Date available:
|
2009-01-08T19:27:16Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119366 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/119394 |
| . |
| Reference:
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