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arXiv · 2304.03255

On the Shape of Small Liquid Drops Minimizing Nonlocal Energies

Konstantinos Bessas·Matteo Novaga·Fumihiko Onoue
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Abstract

We study the equilibrium shape of liquid drops minimizing the fractional perimeter under the action of a potential energy. We prove, with a quantitative estimate, that the small volume minimizers are convex and uniformly close to a ball.

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Konstantinos Bessas, Matteo Novaga, Fumihiko Onoue. 2023-04-06. On the Shape of Small Liquid Drops Minimizing Nonlocal Energies. https://arxiv.org/abs/2304.03255

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