On the mean curvature type flow for convex capillary hypersurfaces in the ball

DOI10.1007/s00526-023-02554-yzbMath1525.53093arXiv2209.12488MaRDI QIDQ6170374

No author found.

Publication date: 16 August 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12488

zbMATH Keywords

quermassintegralmean curvature type flowhypersurface with capillary boundary

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quermassintegral inequalities for \(k\)-convex starshaped domains
• Three-manifolds with positive Ricci curvature
• Regularity estimates for solutions to the mean curvature flow with a Neumann boundary condition
• Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces
• A fully nonlinear locally constrained anisotropic curvature flow
• Locally constrained curvature flows and geometric inequalities in hyperbolic space
• Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball
• A mean curvature type flow with capillary boundary in a unit ball
• The Minkowski inequality in de Sitter space
• Uniqueness of stable capillary hypersurfaces in a ball
• Rigidity and convexity of hypersurfaces in spheres
• A fully-nonlinear flow and quermassintegral inequalities in the sphere
• Isoperimetric Type Inequalities and Hypersurface Flows
• Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
• A volume-preserving anisotropic mean curvature type flow
• A volume preserving flow and the isoperimetric problem in warped product spaces
• Locally constrained inverse curvature flows
• A Mean Curvature Type Flow in Space Forms
• A geometric inequality for convex free boundary hypersurfaces in the unit ball
• Pinching estimates and motion of hypersurfaces by curvature functions
• Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
• Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball

This page was built for publication: On the mean curvature type flow for convex capillary hypersurfaces in the ball