Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915294151180288 |
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| author | Pandey, Ankur Karak, Nijjwal |
| author_facet | Pandey, Ankur Karak, Nijjwal |
| contents | In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space $W^{1,Φ(\cdot,\cdot)}(Ω)$ where $Φ(x,t):=t^{p(x)}{(\log(e+t))}^{q(x)}.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions Pandey, Ankur Karak, Nijjwal Functional Analysis In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space $W^{1,Φ(\cdot,\cdot)}(Ω)$ where $Φ(x,t):=t^{p(x)}{(\log(e+t))}^{q(x)}.$ |
| title | Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2406.08091 |