A note on Pólya-Szegö inequality for fractional Orlicz-Sobolev seminorm in domains
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908458355261440 |
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| author | Temgoua, Remi Yvant |
| author_facet | Temgoua, Remi Yvant |
| contents | In this paper, we study the effect of symmetric radial decreasing rearrangement on fractional Orlicz-Sobolev seminorm in domains. Roughly speaking, we prove that symmetric radial decreasing rearrangement can increase the fractional Orlicz-Sobolev seminorm in domains. Our result extends that of Li-Wang [Commun. Contemp. Math. 21.07 (2019): 1850059.] to the setting of fractional seminorm in domains admitting behaviors more general than powers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Pólya-Szegö inequality for fractional Orlicz-Sobolev seminorm in domains Temgoua, Remi Yvant Analysis of PDEs In this paper, we study the effect of symmetric radial decreasing rearrangement on fractional Orlicz-Sobolev seminorm in domains. Roughly speaking, we prove that symmetric radial decreasing rearrangement can increase the fractional Orlicz-Sobolev seminorm in domains. Our result extends that of Li-Wang [Commun. Contemp. Math. 21.07 (2019): 1850059.] to the setting of fractional seminorm in domains admitting behaviors more general than powers. |
| title | A note on Pólya-Szegö inequality for fractional Orlicz-Sobolev seminorm in domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.18188 |