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 $\Phi$.

On the $N$-Cheeger problem for component-wise increasing norms / Saracco G.; Stefani G.. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - ELETTRONICO. - 189:(2024), pp. 103593.1-103593.35. [10.1016/j.matpur.2024.06.008]

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

Saracco G.;
2024

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 $\Phi$.
2024
189
1
35
Saracco G.; Stefani G.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1361076
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