| Title:
|
On generalized Moser-Trudinger inequalities without boundary condition (English) |
| Author:
|
Černý, Robert |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
743-785 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum. (English) |
| Keyword:
|
Orlicz space |
| Keyword:
|
Orlicz-Sobolev space |
| Keyword:
|
embedding theorem |
| Keyword:
|
sharp constant |
| Keyword:
|
Moser-Trudinger inequality |
| Keyword:
|
concentration-compactness principle |
| MSC:
|
26D10 |
| MSC:
|
46E30 |
| MSC:
|
46E35 |
| MSC:
|
49J99 |
| idZBL:
|
Zbl 1265.46047 |
| idMR:
|
MR2984633 |
| DOI:
|
10.1007/s10587-012-0044-3 |
| . |
| Date available:
|
2012-11-10T21:16:11Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143024 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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