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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2407.17736 |
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| _version_ | 1866913445002084352 |
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| author | Ma, Xi-Nan Wu, Wangzhe |
| author_facet | Ma, Xi-Nan Wu, Wangzhe |
| contents | We found a special divergence structure for the $σ_k$-Yamabe operator and use it to get a monotonicity formula. We also get an interior $L^{\infty}$ estimate via its $L^1$ norm for the $σ_k$-Yamabe operator when $1\le k \le \frac{n}{2}$. Combining these two tools, we prove the weak continuity of the $σ_k$-Yamabe measure with respect to convergence in measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17736 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $σ_k$-Yamabe measure Ma, Xi-Nan Wu, Wangzhe Analysis of PDEs 58C35, 28A33, 35J60 We found a special divergence structure for the $σ_k$-Yamabe operator and use it to get a monotonicity formula. We also get an interior $L^{\infty}$ estimate via its $L^1$ norm for the $σ_k$-Yamabe operator when $1\le k \le \frac{n}{2}$. Combining these two tools, we prove the weak continuity of the $σ_k$-Yamabe measure with respect to convergence in measure. |
| title | $σ_k$-Yamabe measure |
| topic | Analysis of PDEs 58C35, 28A33, 35J60 |
| url | https://arxiv.org/abs/2407.17736 |