41 citations · 100 across the 17 of their papers we have counts for
3 papers · 1 filter
Analysis of a variational model for nematic shells
Antonio Segatti, Michael Snarski, Marco Veneroni
We analyze an elastic surface energy which was recently introduced by G. Napoli and L.Vergori to model thin films of nematic liquid crystals. We show how a novel approach that take…
Morse's index formula in VMO for compact manifolds with boundary
Giacomo Canevari, Antonio Segatti, Marco Veneroni
In this paper, we study Vanishing Mean Oscillation vector fields on a compact manifold with boundary. Inspired by the work of Brezis and Niremberg, we construct a topological invar…
Equilibrium configurations of nematic liquid crystals on a torus
Antonio Segatti, Michael Snarski, Marco Veneroni
The topology and the geometry of a surface play a fundamental role in determining the equilibrium configurations of thin films of liquid crystals. We propose here a theoretical ana…