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arXiv · 2610.37559

Boundary Plateau Laws I

Camillo De Lellis·Federico Glaudo
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Abstract

We give a complete list of the possible local shapes of soap films where they wet the whole wire. In rigorous terms, given a straight line $\ell \subset \mathbb R^3$, we study $2$-dimensional cones in $\mathbb R^3$ which contain $\ell$ and are Almgren minimizing with respect to $\ell$.

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Camillo De Lellis, Federico Glaudo. 2026-10-27. Boundary Plateau Laws I. https://arxiv.org/abs/2610.37559

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