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math.AP2026
Young's law for a nonlocal isoperimetric model of charged capillarity droplets
Michael Goldman, Matteo Novaga, Adriano Prade
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 Co…
math.AP2024
A charged liquid drop model with Willmore energy
Michael Goldman, Matteo Novaga, Berardo Ruffini
We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we…