78 citations · 449 across the 34 of their papers we have counts for
4 papers · 1 filter
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius . We prove that under a symmetric boundary conditio…
Moving planes for domain walls in a coupled system
Amandine Aftalion, Alberto Farina, Luc Nguyen
The system leading to phase segregation in two-component Bose-Einstein condensates can be generalized to hyperfine spin states with a Rabi term coupling. This leads to domain wall…
On the energy of the Horowitz-Myers metrics
Hamed Barzegar, Piotr T. Chruściel, Michael Hörzinger +2
We present results supporting the Horowitz-Myers conjecture, that the Horowitz-Myers metrics minimise energy in the relevant classes of metrics.
Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry
YanYan Li, Luc Nguyen, Bo Wang
We study entire continuous viscosity solutions to fully nonlinear elliptic equations involving the conformal Hessian. We prove the strong comparison principle and Hopf Lemma for (n…