On the Shape of Small Liquid Drops Minimizing Nonlocal Energies
Analysis of PDEs
2023-04-14 v2
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.
Keywords
Cite
@article{arxiv.2304.03255,
title = {On the Shape of Small Liquid Drops Minimizing Nonlocal Energies},
author = {Konstantinos Bessas and Matteo Novaga and Fumihiko Onoue},
journal= {arXiv preprint arXiv:2304.03255},
year = {2023}
}
Comments
25 pages