On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup>
In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)-...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-08-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020403/fulltext.html |
| _version_ | 1819209143621255168 |
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| author | Haikun Liu Yongqiang Fu |
| author_facet | Haikun Liu Yongqiang Fu |
| author_sort | Haikun Liu |
| collection | DOAJ |
| description | In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)- Laplacian equations is discussed. |
| first_indexed | 2024-12-23T05:50:36Z |
| format | Article |
| id | doaj.art-d7ad98c85ac14361b4de3eb327b6ffdb |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-23T05:50:36Z |
| publishDate | 2020-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d7ad98c85ac14361b4de3eb327b6ffdb2022-12-21T17:57:58ZengAIMS PressAIMS Mathematics2473-69882020-08-01566261627610.3934/math.2020403On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup>Haikun Liu0Yongqiang Fu1Departnent of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. ChinaDepartnent of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. ChinaIn this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)- Laplacian equations is discussed.https://www.aimspress.com/article/10.3934/math.2020403/fulltext.htmlvariable exponentfractionalsobolev space |
| spellingShingle | Haikun Liu Yongqiang Fu On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> AIMS Mathematics variable exponent fractional sobolev space |
| title | On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> |
| title_full | On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> |
| title_fullStr | On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> |
| title_full_unstemmed | On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> |
| title_short | On the variable exponential fractional Sobolev space <em>W</em><sup><em>s</em>(·),<em>p</em>(·)</sup> |
| title_sort | on the variable exponential fractional sobolev space em w em sup em s em · em p em · sup |
| topic | variable exponent fractional sobolev space |
| url | https://www.aimspress.com/article/10.3934/math.2020403/fulltext.html |
| work_keys_str_mv | AT haikunliu onthevariableexponentialfractionalsobolevspaceemwemsupemsemempemsup AT yongqiangfu onthevariableexponentialfractionalsobolevspaceemwemsupemsemempemsup |