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arXiv · 2401.16041

On the $N$-Cheeger problem for component-wise increasing norms

Giorgio Saracco·Giorgio Stefani
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Abstract

We study Cheeger and $p$-eigenvalue partition problems depending on a given evaluation function $\Phi$ 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 $\Phi$.

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BibTeXRIS

Giorgio Saracco, Giorgio Stefani. 2024-01-29. On the $N$-Cheeger problem for component-wise increasing norms. https://doi.org/10.1016/j.matpur.2024.06.008

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