PreprintarXiv licencearXiv
Boundary Plateau Laws I
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 ℓ ⊂ ℝ3, we study $2$-dimensional cones in ℝ3 which contain ℓ and are Almgren minimizing with respect to ℓ.
Related
- Boundary Plateau Laws II
- Foliated Plateau problems, surface Radon transforms, and boundary area rigidity in dimension three
- Global boundary stabilization of 1d systems of scalar conservation laws
- Boundary stabilization of a moving interface in a 2 × 2 weakly hyperbolic system of balance laws: application to continuous sedimentation
- Boundary stabilization of a moving interface in a 2 x 2 weakly hyperbolic system of balance laws: application to continuous sedimentation
BibTeX
@misc{lellis2026boundary,
title = {{Boundary Plateau Laws I}},
author = {Camillo De Lellis and Federico Glaudo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37559},
eprint = {2610.37559},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37559},
}
RIS
TY - UNPB
TI - Boundary Plateau Laws I
AU - Camillo De Lellis
AU - Federico Glaudo
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37559
UR - https://arxiv.org/abs/2610.37559
AB - 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 ℓ ⊂ ℝ^3, we study $2$-dimensional cones in ℝ^3 which contain ℓ and are Almgren minimizing with respect to ℓ.
ER -