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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.07100 |
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| _version_ | 1866912418930622464 |
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| author | Wu, Wenjing |
| author_facet | Wu, Wenjing |
| contents | In this paper, we prove a Talenti-type comparison theorem for the $p$-Laplacian with Dirichlet boundary conditions on open subsets of a $\mathrm{RCD}(0,N)$ space with $N\in (1,\infty)$. We also obtain an almost rigidity result of the Talenti-type comparison theorem, whose proof relies on a compactness on varying spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space Wu, Wenjing Analysis of PDEs In this paper, we prove a Talenti-type comparison theorem for the $p$-Laplacian with Dirichlet boundary conditions on open subsets of a $\mathrm{RCD}(0,N)$ space with $N\in (1,\infty)$. We also obtain an almost rigidity result of the Talenti-type comparison theorem, whose proof relies on a compactness on varying spaces. |
| title | Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.07100 |