Stable capillary hypersurfaces in a wedge

Jaigyoung Choe, Miyuki Koiso

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let Σ be a compact immersed stable capillary hypersurface in a wedge bounded by two hyperplanes in Rn+1. Suppose that Σ meets those two hyperplanes in constant contact angles ≥π/2 and is disjoint from the edge of the wedge, and suppose that ∂Σ consists of two smooth components with one in each hyperplane of the wedge. It is proved that if ∂Σ is embedded for n = 2, or if each component of ∂Σ is convex for n ≥ 3, then Σ is part of the sphere. The same is true for Σ in the half-space of Rn+1 with connected boundary ∂Σ.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalPacific Journal of Mathematics
Volume280
Issue number1
DOIs
Publication statusPublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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