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math.AP2023
On the shape of hypersurfaces with boundary which have zero fractional mean curvature
Fumihiko Onoue
We consider hypersurfaces with boundary in that are the critical points of the fractional area introduced by Paroni, Podio-Guidugli, and Seguin in [R. Paroni, P. Pod…
math.AP2023
On the Shape of Small Liquid Drops Minimizing Nonlocal Energies
Konstantinos Bessas, Matteo Novaga, Fumihiko Onoue
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 vo…
math.AP2023
Local and Nonlocal Liquid Drop Models
M. Novaga, F. Onoue
We consider some extensions of Gamow's liquid drop model for an atomic nucleus. We present a review of the classical model and then we illustrate some recent developments on a nonl…