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arXiv · 2603.24483

Young's law for a nonlocal isoperimetric model of charged capillarity droplets

Michael Goldman·Matteo Novaga·Adriano Prade
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Abstract

We study a variational problem modeling equilibrium configurations of charged liquid droplets resting on a surface under a convexity constraint. In the two-dimensional case with Coulomb interactions, we establish the validity of Young's law for the contact angle for small enough charges.

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Michael Goldman, Matteo Novaga, Adriano Prade. 2026-03-25. Young's law for a nonlocal isoperimetric model of charged capillarity droplets. https://arxiv.org/abs/2603.24483

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