“A capillarity nonlocal isoperimetric problem in the convex regime”
Martedì 2 Dicembre 2025, ore 17:00 - Aula 1BC45 - Adriano Prade (École Polytechnique)
Abstract
We consider a model for an electrically charged liquid drop laying on a solid surface. The surface tension of the droplet is represented by the classical De Giorgi perimeter with a capillarity modification whereas the electric charge is modeled by the Riesz energy. We study the resulting functional under convexity constraint in dimension 2, focusing on existence and regularity of minimizers. In the end we show the validity of Young’s law, describing the contact angle between the droplet and the supporting surface.
