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<p>We establish the existence and smoothness of minimizers of the Willmore energy among axially symmetric surfaces of spherical type with prescribed isoperimetric ratio. Afterwards, we study the behavior of these minimizers as the isoperimetric ratio tends to zero.</p>

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Axially symmetric Willmore minimizers with prescribed isoperimetric ratio

  • 期刊论文

  • 发表日期：

    2025年2月3日

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  • Jan-Henrik Metsch

摘要

We establish the existence and smoothness of minimizers of the Willmore energy among axially symmetric surfaces of spherical type with prescribed isoperimetric ratio. Afterwards, we study the behavior of these minimizers as the isoperimetric ratio tends to zero.