Covers, soap films and BV functions

Maurizio Paolini, Giovanni Bellettini, Franco Pasquarelli, Giuseppe Scianna

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

In this paper we first review the covering space method with constrained BV functions for solving the classical Plateau's problem. Next, we carefully analyze some interesting examples of soap films compatible with the covering space method: in particular, the case of a soap film only partially wetting a space curve, a soap film spanning a cubical frame but having a large tunnel, aa soap film that retracts onto its boundary, hence not modelable with the Reifenberg method, and various soap films spanning an octahedral frame.
Lingua originaleEnglish
pagine (da-a)57-75
Numero di pagine19
RivistaGEOMETRIC FLOWS
Volume3
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • covering spaces
  • minimal surfaces
  • soap films

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