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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2305.06049 |
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| _version_ | 1866910772583464960 |
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| author | Ni, Yubo |
| author_facet | Ni, Yubo |
| contents | Sharp Moser-Trudinger type inequalities and their extremal functions play an important role in studying nonlinear PDEs and geometry. We establish a new sharp Moser-Trudinger type inequality in the upper half space in two dimensions and prove the existence of extremal functions for a sharp Moser-Trudinger type inequality under dynamic changes in the unit ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06049 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extremal function for a sharp Moser-Trudinger type inequality on the upper half space Ni, Yubo Analysis of PDEs Sharp Moser-Trudinger type inequalities and their extremal functions play an important role in studying nonlinear PDEs and geometry. We establish a new sharp Moser-Trudinger type inequality in the upper half space in two dimensions and prove the existence of extremal functions for a sharp Moser-Trudinger type inequality under dynamic changes in the unit ball. |
| title | Extremal function for a sharp Moser-Trudinger type inequality on the upper half space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2305.06049 |