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

Giorgio Saracco; Giorgio Stefani

doi:10.1016/j.matpur.2024.06.008

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

Functional Analysis 2024-10-22 v3 Spectral Theory

Authors: 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 $\Phi$ .

Keywords

minimizers

Cite

@article{arxiv.2401.16041,
  title  = {On the $N$-Cheeger problem for component-wise increasing norms},
  author = {Giorgio Saracco and Giorgio Stefani},
  journal= {arXiv preprint arXiv:2401.16041},
  year   = {2024}
}

Comments

33 pages. Due to a miscommunication, we received one report after publication. This version incorporates the report's feedback and corrects the statement of Lemma 4.17 by adding a missing hypothesis

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

Abstract

Keywords

Cite

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