Calculus of Variations and Geometric Measure Theory

G. Bevilacqua - L. Lussardi - A. Marzocchi

Soap film spanning an elastic link

created by lussardi on 22 Nov 2017
modified by bevilacqua on 23 Aug 2022


Published Paper

Inserted: 22 nov 2017
Last Updated: 23 aug 2022

Journal: Quart. Appl. Math.
Volume: 77
Number: 3
Pages: 507-523
Year: 2019

ArXiv: 1711.08263 PDF


We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations. We prove the existence of a solution with minimum energy, which may be quite irregular, and perform experiments confirming the kind of surface predicted by the model.