| Title:
|
On Hölder regularity for vector-valued minimizers of quasilinear functionals (English) |
| Author:
|
Daněček, Josef |
| Author:
|
Viszus, Eugen |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
199-207 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type $$ \mathcal A(u;\Omega )=\int _{\Omega } A_{ij}^{\alpha \beta }(x,u) D_{\alpha }u^iD_{\beta }u^j\,{\rm d}x $$ whose gradients belong to the Morrey space $L^{2,n-2}(\Omega ,\mathbb R^{nN})$. (English) |
| Keyword:
|
quasilinear functional |
| Keyword:
|
minimizer |
| Keyword:
|
regularity |
| Keyword:
|
Campanato-Morrey space |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 1224.35116 |
| idMR:
|
MR2723087 |
| DOI:
|
10.21136/MB.2010.140697 |
| . |
| Date available:
|
2010-07-20T18:37:58Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140697 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
