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arxiv: 1707.01703 · v1 · pith:JAHGZAOEnew · submitted 2017-07-06 · 🧮 math.AP

The Cheeger N-problem in terms of BV functions

classification 🧮 math.AP
keywords cheegerfunctionsproblemallowscheeger-2-cheeger-n-problemclassconnections
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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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