A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908939990335488 |
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| author | Paiva, Ruan Diego da Silva de Oliveira, José Francisco |
| author_facet | Paiva, Ruan Diego da Silva de Oliveira, José Francisco |
| contents | We establish a Trudinger-Moser type inequality with a Tintarev-type constraint in fractional-dimensional spaces and prove the existence of maximizers in the critical regime. Our results provide a refinement of those in (Calc. Var. 52 (2015), 125-163) in the setting of fractional-dimensional spaces, as well as of those in (Ann. Global Anal. Geom. 54 (2018), 237-256) for classical Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04676 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions Paiva, Ruan Diego da Silva de Oliveira, José Francisco Analysis of PDEs Functional Analysis 46E35 We establish a Trudinger-Moser type inequality with a Tintarev-type constraint in fractional-dimensional spaces and prove the existence of maximizers in the critical regime. Our results provide a refinement of those in (Calc. Var. 52 (2015), 125-163) in the setting of fractional-dimensional spaces, as well as of those in (Ann. Global Anal. Geom. 54 (2018), 237-256) for classical Sobolev spaces. |
| title | A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions |
| topic | Analysis of PDEs Functional Analysis 46E35 |
| url | https://arxiv.org/abs/2604.04676 |