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Main Authors: Delgadino, Matias G., Weser, Daniel
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.16376
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author Delgadino, Matias G.
Weser, Daniel
author_facet Delgadino, Matias G.
Weser, Daniel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2210_16376
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
Delgadino, Matias G.
Weser, Daniel
Analysis of PDEs
Mathematical Physics
Differential Geometry
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.
title A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
topic Analysis of PDEs
Mathematical Physics
Differential Geometry
url https://arxiv.org/abs/2210.16376