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arXiv · 1707.01703

The Cheeger N-problem in terms of BV functions

Marco Caroccia·Samuel Littig
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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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Marco Caroccia, Samuel Littig. 2017-07-06. The Cheeger N-problem in terms of BV functions. https://arxiv.org/abs/1707.01703

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