# On the anisotropic Kirchhoff-Plateau problem

**Authors:** Antonio De Rosa, Luca Lussardi

arXiv: 1907.00228 · 2019-07-02

## TL;DR

This paper extends the existence results of the Kirchhoff-Plateau problem to anisotropic materials, including a dimensional reduction, advancing the mathematical understanding of such physical systems.

## Contribution

It introduces the anisotropic setting into the Kirchhoff-Plateau problem and proves the existence of solutions, including a dimensional reduction approach.

## Key findings

- Existence of solutions in anisotropic Kirchhoff-Plateau problem
- Dimensional reduction for the anisotropic case
- Mathematical framework for anisotropic elastic structures

## Abstract

We extend to the anisotropic setting the existence of solutions for the Kirchhoff-Plateau problem and its dimensional reduction.

## Full text

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## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1907.00228/full.md

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Source: https://tomesphere.com/paper/1907.00228