This Thesis aims to highlight some isoperimetric questions involving the so-called N-clusters. In our context an N-cluster is a generic family of N sets with disjoint interiors (called chambers) that compete in some variational (isoperimetric) problem as a unique object. We focus our attention also on a Cheeger-type problem involving such objects.
On the isoperimetric properties of planar N-clusters
2015
Abstract
This Thesis aims to highlight some isoperimetric questions involving the so-called N-clusters. In our context an N-cluster is a generic family of N sets with disjoint interiors (called chambers) that compete in some variational (isoperimetric) problem as a unique object. We focus our attention also on a Cheeger-type problem involving such objects.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/133726
Il codice NBN di questa tesi è
URN:NBN:IT:UNIPI-133726