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Free boundary minimal surfaces and overdetermined boundary value problems

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 نشر من قبل Alexei V. Penskoi
 تاريخ النشر 2018
  مجال البحث
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In this paper we establish a connection between free boundary minimal surfaces in a ball in $mathbb{R}^3$ and free boundary cones arising in a one-phase problem. We prove that a doubly connected minimal surface with free boundary in a ball is a catenoid.

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