On the conjectured capillary Blaschke-Santaló inequality
Abstract
We prove that the conjectured capillary Blaschke--Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when θ∈ (0, π2). Moreover, for θ∈ (π2, π), we show that the capillary volume product has no finite upper bound.
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