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Mathematics > Analysis of PDEs

Title: The $\ell_1$ double-bubble problem in three dimensions

Abstract: We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the $\ell_1$-norm for volume ratios between $1/2$ and $2$.
Comments: 17 pages, 2 figures
Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)
MSC classes: 49Q10
Cite as: arXiv:2403.19295 [math.AP]
  (or arXiv:2403.19295v1 [math.AP] for this version)

Submission history

From: Wojciech Górny [view email]
[v1] Thu, 28 Mar 2024 10:33:18 GMT (42kb,D)

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