Published Paper
Inserted: 16 feb 2015
Last Updated: 15 mar 2021
Journal: Calc. Var. PDE
Year: 2016
Abstract:
In this paper we consider the Cheeger problem for non-convex domains, with a particular interest in the case of planar strips, which have been extensively studied in recent years. Our main results are an estimate on the Cheeger constant of strips, which is stronger than the previous one known from~\cite{KrePra2011}, and the proof that strips share with convex domains a number of crucial properties with respect to the Cheeger problem. Moreover, we present several counterexamples showing that the same properties are not valid for generic non-convex domains.
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