The ℓ₁ double-bubble problem in three dimensions

2024/03/28 by Manuel Friedrich, Friedrich, Manuel, Wojciech Górny +3 · 1 citation
Materials Science · #49Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Pickering emulsions and particle stabilization

paper · pdf · doi:10.48550/arxiv.2403.19295

openalex publication_date 2024/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the ℓ₁-norm for volume ratios between 1/2 and 2.

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