Preprint
Inserted: 10 oct 2026
Last Updated: 11 oct 2026
Year: 2026
Abstract:
We prove the uniform convergence of Plateau borders to Plateau singularities in the vanishing-volume limit of a soap film model based on capillarity theory. The results are formulated in the context a new type of local area minimizer that takes into account how a soap film locally separates its surrounding space.
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