The Cheeger N-problem in terms of BV functions
Analysis of PDEs
2017-07-07 v1
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.
Keywords
Cite
@article{arxiv.1707.01703,
title = {The Cheeger N-problem in terms of BV functions},
author = {Marco Caroccia and Samuel Littig},
journal= {arXiv preprint arXiv:1707.01703},
year = {2017}
}