Mathematical studies of nematic liquid crystals address in general two rather different
perspectives: that of fluid mechanics and that of calculus of variations. The former focuses on …

We investigate stability properties of the radially symmetric solution corresponding to the
vortex defect (the so called “melting hedgehog”) in the framework of the Landau–de Gennes …

We study minimizers of the Landau-de Gennes energy in R 3\B 1 (0) with external magnetic
field in the large particle limit. We impose strong tangential anchoring and uniaxiality of the …

We consider energy minimizing configurations of a nematic liquid crystal around a spherical
colloid particle, in the context of the Landau–de Gennes model. The nematic is assumed to …

We study a class of symmetric critical points in a variational 2D Landau–de Gennes model
where the state of nematic liquid crystals is described by symmetric traceless 3× 3 matrices …

We study k-radially symmetric solutions corresponding to topological defects of charge k 2 k
2 for integer k\not= 0 k≠ 0 in the Landau-de Gennes model describing liquid crystals in two …

We investigate prototypical profiles of point defects in two-dimensional liquid crystals within
the framework of Landau–de Gennes theory. Using boundary conditions characteristic of …

We provide necessary and sufficient conditions for the uniqueness of minimisers of the
Ginzburg-Landau functional for $\mathbb {R}^ n $-valued maps under a suitable convexity …

We study global minimizers of a continuum Landau-de Gennes energy functional for
nematic liquid crystals, in three-dimensional domains, under a Dirichlet boundary condition …

Local minimality of RN -valued and SN -valued Ginzburg–Landau vortex solutions in the unit
ball BN Page 1 Ann. Inst. H. PoincarÈ Anal. Non LinÈaire (Online first) DOI 10.4171/AIHPC/84 …