Calculus of Variations and Geometric Measure Theory
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M. Caroccia - S. Littig

The Cheeger N-problem in terms of BV functions

created by caroccia on 06 Jul 2017
modified on 19 Jun 2019


Published Paper

Inserted: 6 jul 2017
Last Updated: 19 jun 2019

Journal: Journal of Convex Analysis
Year: 2017


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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