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arXiv · 2210.16376

A Heintze-Karcher inequality with free boundaries and applications to capillarity theory

Matias G. Delgadino·Daniel Weser
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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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Matias G. Delgadino, Daniel Weser. 2022-10-28. A Heintze-Karcher inequality with free boundaries and applications to capillarity theory. https://arxiv.org/abs/2210.16376

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