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A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
Published 28 Oct 2022 in math.AP, math-ph, math.DG, and math.MP | (2210.16376v2)
Abstract: In this paper we analyze the shape of a droplet inside a smooth container. To characterize their shape in the capillarity regime, we obtain a new form of the Heintze-Karcher inequality for mean convex hypersurfaces with boundary lying on curved substrates.
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