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

CAROCCIA, MARCO
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.
23-lug-2015
Italiano
Cheeger
isoperimetric
N-clusters
planar
Alberti, Giovanni
Maggi, Francesco
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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