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<p>We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2151_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ell _1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ℓ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>-norm for volume ratios between 1/2 and 2.</p>

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The \(\ell _1\) Double-Bubble Problem in Three Dimensions

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • Manuel Friedrich,
  • Wojciech Górny,
  • Ulisse Stefanelli

摘要

We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the \(\ell _1\) ℓ 1 -norm for volume ratios between 1/2 and 2.