Calculus of Variations and Geometric Measure Theory

G. Bevilacqua - L. Lussardi - A. Marzocchi

Soap film spanning electrically repulsive elastic protein links

created by lussardi on 09 Apr 2018
modified on 30 Nov 2018


Published Paper

Inserted: 9 apr 2018
Last Updated: 30 nov 2018

Journal: Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.
Volume: 96
Number: Suppl. 3
Pages: 1-13
Year: 2018


We study the equilibrium problem of a mechanical system consisting by two Kirchhoff rods linked in an arbitrary way and also forming knots, constrained not to touch themselves by means of electrical repulsion and tied by a soap film, as a model to describe the interaction between an electrically charged protein and a biomembrane. We prove the existence of a solution with minimum total energy, which may be quite irregular, by using techniques of the Calculus of Variations.