On the $N$-Cheeger problem for component-wise increasing norms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929551930556416 |
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| author | Saracco, Giorgio Stefani, Giorgio |
| author_facet | Saracco, Giorgio Stefani, Giorgio |
| contents | We study Cheeger and $p$-eigenvalue partition problems depending on a given evaluation function $Φ$ for $p\in[1,\infty)$. We prove existence and regularity of minima, relations among the problems, convergence, and stability with respect to $p$ and to $Φ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the $N$-Cheeger problem for component-wise increasing norms Saracco, Giorgio Stefani, Giorgio Functional Analysis Spectral Theory Primary 49Q20. Secondary 35P30, 49Q10 We study Cheeger and $p$-eigenvalue partition problems depending on a given evaluation function $Φ$ for $p\in[1,\infty)$. We prove existence and regularity of minima, relations among the problems, convergence, and stability with respect to $p$ and to $Φ$. |
| title | On the $N$-Cheeger problem for component-wise increasing norms |
| topic | Functional Analysis Spectral Theory Primary 49Q20. Secondary 35P30, 49Q10 |
| url | https://arxiv.org/abs/2401.16041 |