Inserted: 6 jul 2017
Last Updated: 19 jun 2019
Journal: Journal of Convex Analysis
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.