### Abstract

Let Σ be a compact immersed stable capillary hypersurface in a wedge bounded by two hyperplanes in R^{n+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 R^{n+1} with connected boundary ∂Σ.

Original language | English |
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Pages (from-to) | 1-15 |

Number of pages | 15 |

Journal | Pacific Journal of Mathematics |

Volume | 280 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2016 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Choe, J., & Koiso, M. (2016). Stable capillary hypersurfaces in a wedge.

*Pacific Journal of Mathematics*,*280*(1), 1-15. https://doi.org/10.2140/pjm.2016.280.1