Dimensional Reduction of the Kirchhoff-Plateau Problem

Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi

Research output: Contribution to journalArticle


We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalJournal of Elasticity
Publication statusPublished - 2020


  • Dimensional reduction
  • Kirchhoff-Plateau problem


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