On the conjectured capillary Blaschke–Santaló inequality
Abstract
Abstract We prove that the conjectured capillary Blaschke–Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when . Moreover, for , we show that the capillary volume product has no finite upper bound.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Point processes and geometric inequalities
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematika
- Volume
- 72
- Issue
- 3
- Publication date
- 9 June 2026
- Language
- EN