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A partially overdetermined problem in a half ball

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 نشر من قبل Chao Xia
 تاريخ النشر 2018
  مجال البحث
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In this paper, we study a partially overdetermined mixed boundary value problem in a half ball. We prove that a domain in which this partially overdetermined problem admits a solution if and only if the domain is a spherical cap intersecting $ss^{n-1}$ orthogonally. As an application, we show a stationary point for a partially torsional rigidity under a volume constraint must be a spherical cap.



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