| Title:
|
Trudinger's inequality for double phase functionals with variable exponents (English) |
| Author:
|
Maeda, Fumi-Yuki |
| Author:
|
Mizuta, Yoshihiro |
| Author:
|
Ohno, Takao |
| Author:
|
Shimomura, Tetsu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
511-528 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim in this paper is to establish Trudinger's inequality on Musielak-Orlicz-Morrey spaces $L^{\Phi ,\kappa }(G)$ under conditions on $\Phi $ which are essentially weaker than those considered in a former paper. As an application and example, we show Trudinger's inequality for double phase functionals $\Phi (x,t) = t^{p(x)} + a(x) t^{q(x)}$, where $p(\cdot )$ and $q(\cdot )$ satisfy log-Hölder conditions and $a(\cdot )$ is nonnegative, bounded and Hölder continuous. (English) |
| Keyword:
|
Riesz potential |
| Keyword:
|
Trudinger's inequality |
| Keyword:
|
Musielak-Orlicz-Morrey space |
| Keyword:
|
double phase functional |
| MSC:
|
31C15 |
| MSC:
|
46E30 |
| idZBL:
|
07361082 |
| idMR:
|
MR4263183 |
| DOI:
|
10.21136/CMJ.2021.0506-19 |
| . |
| Date available:
|
2021-05-20T13:45:38Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148918 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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