4 citations · 6 across the 4 of their papers we have counts for
10 papers · 1 filter
The axisymmetric -Nirenberg problem
Yanyan Li, Luc Nguyen, Bo Wang
We study the problem of prescribing -curvature for a conformal metric on the standard sphere with and in axisymmetry. Compactness, n…
Solutions to the -Loewner-Nirenberg problem on annuli are locally Lipschitz and not differentiable
Yanyan Li, Luc Nguyen
We show for that the locally Lipschitz viscosity solution to the -Loewner-Nirenberg problem on a given annulus is in…
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…
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…
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
For , we consider the Ginzburg-Landau functional for -valued maps defined in the unit ball with the vortex boundary data on $\partial…