On stable capillary hypersurfaces with planar boundaries

DOI10.1007/S12220-023-01257-2zbMath1520.53052arXiv2111.01500OpenAlexW4221157117MaRDI QIDQ6157816

Rabah Souam

Publication date: 12 May 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01500

zbMATH Keywords

stabilityconstant mean curvature hypersurfacescapillary hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)

Cites Work

• Sharp eigenvalue bounds and minimal surfaces in the ball
• Stability of capillary surfaces with planar boundary in the absence of gravity
• Stability of capillary hypersurfaces with planar boundaries
• Stable capillary hypersurfaces in a wedge
• Stability of hypersurfaces with constant mean curvature
• The summertop construction: crystals in a corner.
• Capillary surfaces with free boundary in a wedge
• Uniqueness of stable capillary hypersurfaces in a ball
• On stable constant mean curvature surfaces with free boundary
• Stable constant mean curvature surfaces with free boundary in slabs
• Stable capillary hypersurfaces in a half-space or a slab

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