| Title:
|
Integrability for vector-valued minimizers of some variational integrals (English) |
| Author:
|
Leonetti, Francesco |
| Author:
|
Siepe, Francesco |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
469-479 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that the higher integrability of the data $f, f_0$ improves on the integrability of minimizers $u$ of functionals $\Cal F$, whose model is $$ \int_{\Omega} \left[|Du|^p + (\operatorname{det} (Du))^2 - \langle f,Du \rangle + \langle f_0,u \rangle \right] dx, $$ where $u:\Omega\subset \Bbb R^n\to \Bbb R^n$ and $p\ge 2$. (English) |
| Keyword:
|
calculus of variations |
| Keyword:
|
minimizers |
| Keyword:
|
regularity |
| MSC:
|
35J20 |
| MSC:
|
35J60 |
| MSC:
|
49J20 |
| MSC:
|
49J53 |
| MSC:
|
49N60 |
| idZBL:
|
Zbl 1051.49023 |
| idMR:
|
MR1860235 |
| . |
| Date available:
|
2009-01-08T19:11:46Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119261 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
