Stability of capillary hypersurfaces in a manifold with density

DOI10.1142/S0129167X16500622zbMath1356.53011OpenAlexW2462616880MaRDI QIDQ2816972

Haizhong Li, Changwei Xiong

Publication date: 26 August 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x16500622

zbMATH Keywords

stabilitymanifold with densitycapillary hypersurface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Variational problems in infinite-dimensional spaces (58E99) Stability theory for manifolds (58K25)

Related Items

Discs area-minimizing in mean convex Riemanniann-manifolds, Stability of unduloid bridges with free boundary in a Euclidean slab, Stable capillary hypersurfaces and the partitioning problem in balls with radial weights

Cites Work

• Stability of capillary hypersurfaces with planar boundaries
• Comparison geometry for the Bakry-Emery Ricci tensor
• On stability of capillary surfaces in a ball
• Stable capillary hypersurfaces in a half-space or a slab
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