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Digital archive of theses discussed at the University of Pisa

 

Thesis etd-07222015-131411


Thesis type
Tesi di dottorato di ricerca
Author
CAROCCIA, MARCO
URN
etd-07222015-131411
Thesis title
On the isoperimetric properties of planar N-clusters
Academic discipline
MAT/05
Course of study
SCIENZE DI BASE
Supervisors
tutor Prof. Alberti, Giovanni
correlatore Prof. Maggi, Francesco
Keywords
  • Cheeger
  • isoperimetric
  • N-clusters
  • planar
Graduation session start date
24/08/2015
Availability
Withheld
Release date
24/08/2085
Summary
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.
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