Showing math.APShow all
3 papers · 1 filter
math.AP2026
Discrete Quantitative Isocapacitary Inequality: Fluctuation Estimates
Marco Cicalese, Leonard Kreutz, Imteyaz Mansoor
The classical isocapacitary inequality states that, among all sets of fixed volume, the ball uniquely minimizes the capacity. While this result holds in the continuum, it fails in…
math.AP2025
Crystalline Motion of discrete interfaces in the Blume-Emery-Griffiths Model: partial wetting
Marco Cicalese, Giuliana Fusco, Giovanni Savaré
We continue the variational study of the discrete-to-continuum evolution of lattice systems of Blume-Emery-Griffith type which model two immiscible phases in the presence of a surf…
math.AP2025
Crystalline motion of discrete interfaces in the Blume-Emery-Griffiths model
Marco Cicalese, Giuliana Fusco, Giovanni Savaré
We study the discrete-to-continuum evolution of a lattice system consisting of two immiscible phases labelled by -1 and +1 in presence of a surfactant phase labelled by 0. The syst…