We reformulate the Cheeger N partition problem as a minimization among a suitable class of BV functions. This allows us to obtain a new existence proof for the Cheeger-N-problem. Moreover, we derive some connections between the Cheeger-2- problem and the second eigenvalue of the 1-Laplace operator.
The Cheeger N-problem in terms of BV functions / Caroccia, Marco; Littig, Samuel. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 26:(2019), pp. 33-47.
The Cheeger N-problem in terms of BV functions
Caroccia, Marco;
2019
Abstract
We reformulate the Cheeger N partition problem as a minimization among a suitable class of BV functions. This allows us to obtain a new existence proof for the Cheeger-N-problem. Moreover, we derive some connections between the Cheeger-2- problem and the second eigenvalue of the 1-Laplace operator.
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