TY - JOUR

T1 - Stable capillary hypersurfaces in a wedge

AU - Choe, Jaigyoung

AU - Koiso, Miyuki

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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U2 - 10.2140/pjm.2016.280.1

DO - 10.2140/pjm.2016.280.1

M3 - Article

AN - SCOPUS:84957799625

SN - 0030-8730

VL - 280

SP - 1

EP - 15

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -