Calculus of Variations and Geometric Measure Theory
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G. Bevilacqua - L. Lussardi - A. Marzocchi

Soap film spanning electrically repulsive elastic protein links

created by lussardi on 09 Apr 2018

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Submitted Paper

Inserted: 9 apr 2018
Last Updated: 9 apr 2018

Year: 2018

Abstract:

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.


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