Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909901662453760 |
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| author | Guo, Kaiwen Liu, Yanjun |
| author_facet | Guo, Kaiwen Liu, Yanjun |
| contents | In this paper, we investigate the extremal functions for anisotropic Trudinger-Moser inequalities. Our method uses convex symmetrization, the continuity of the supremum function, together with the relation between the supremums of the subcritical and the critical anisotropic Trudinger-Moser inequality, we give some results of existence and symmetry about the extremal functions for several different types of anisotropic Trudinger-Moser inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04342 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities Guo, Kaiwen Liu, Yanjun Functional Analysis 35J60, 35B33, 46E35 In this paper, we investigate the extremal functions for anisotropic Trudinger-Moser inequalities. Our method uses convex symmetrization, the continuity of the supremum function, together with the relation between the supremums of the subcritical and the critical anisotropic Trudinger-Moser inequality, we give some results of existence and symmetry about the extremal functions for several different types of anisotropic Trudinger-Moser inequalities. |
| title | Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities |
| topic | Functional Analysis 35J60, 35B33, 46E35 |
| url | https://arxiv.org/abs/2511.04342 |