Publications (26)
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen, Bo Wang
Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry
YanYan Li, Luc Nguyen, Bo Wang
Instability of point defects in a two-dimensional nematic liquid crystal model
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions $N \geq 7$
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
A lower bound for the mass of axisymmetric connected black hole data sets
Piotr T. ChruÅciel, Luc Nguyen
Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem
Maria del Mar González, YanYan Li, Luc Nguyen
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes
Luc Nguyen, Gang Tian
Moving planes for domain walls in a coupled system
Amandine Aftalion, Alberto Farina, Luc Nguyen
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
Yanyan Li, Jiakun Liu, Luc Nguyen
A response to an article of Xu-Jia Wang
YanYan Li, Luc Nguyen
Stability of point defects of degree $\pm \frac 1 2$ in a two-dimensional nematic liquid crystal model
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary
YanYan Li, Luc Nguyen
Asymptotically flat Einstein-Maxwell fields are inheriting
Piotr T. Chrusciel, Luc Nguyen, Paul Tod +1
On the uniqueness of minimisers of Ginzburg-Landau functionals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
Piotr T. ChruÅciel, Gregory J. Galloway, Luc Nguyen +1
Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
Interior Regularity Estimates in High Conductivity Homogenization and Application
Marc Briane, Yves Capdeboscq, Luc Nguyen
Existence of singularities in two-Kerr black holes
Piotr T. ChruÅciel, MichaÅ Eckstein, Luc Nguyen +1
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations
Yanyan Li, Luc Nguyen
A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
YanYan Li, Luc Nguyen
A generalized mass involving higher order symmetric function of the curvature tensor
YanYan Li, Luc Nguyen
Refined approximation for a class of Landau-de Gennes energy minimizers
Luc Nguyen, Arghir Zarnescu
A uniqueness theorem for degenerate Kerr-Newman black holes
Piotr T. ChruÅciel, Luc Nguyen
Ghost points in inverse scattering constructions of stationary Einstein metrics
Piotr T. ChruÅciel, Luc Nguyen