Associate Professor
Tutorial Fellow at St Edmund Hall
+44 1865 615320
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
issue 4
volume 56
(August 2017)
Full text available
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
issue 1
volume 19
page 853-876
(March 2017)
Full text available
Stability of point defects of degree +/- 1/2 in a two-dimensional nematic liquid crystal model
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
issue 5
volume 55
(October 2016)
Full text available
On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes
Arxiv - to appear in Class. Quantum Grav
(2013)
Harnack inequalities and B^ocher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations
Communications in Mathematical Physics
(2012)
Research Interests:
Partial differential equations and geometry
Further Details:
Major / Recent Publications:
- Li, YanYan; Nguyen, Luc, Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations, arXiv:1604.06039
- Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir, Stability of point defects of degree $\pm \frac 1 2$ in a two-dimensional nematic liquid crystal model, Calc. Var. Partial Differential Equations 55 (2016), no. 5, Paper No. 119, 33 pp. MR3551299
- Li, YanYan; Liu, Jiakun; Nguyen, Luc, A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions, arXiv:1509.02331
- Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir, Instability of point defects in a two-dimensional nematic liquid crystal model, Ann. Inst. H. Poincaré Anal. Non Linéaire, 33 (2016), no. 4, 1131--1152. MR3519535
- Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir, Stability of the melting hedgehog in the Landau–de Gennes theory of nematic liquid crystals, Arch. Ration. Mech. Anal. 215 (2015), no. 2, 633--673. MR3294413
- Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir, Uniqueness results for an ODE related to a generalized Ginzburg–Landau model for liquid crystals, SIAM J. Math. Anal. 46 (2014), no. 5, 3390--3425. MR3265181
- Li, YanYan; Nguyen, Luc, Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations. Comm. Pure Appl. Math. 67 (2014), no. 11, 1843--1876. MR3263671
- Li, YanYan; Nguyen, Luc, A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound, J. Funct. Anal. 266 (2014), no. 6, 3741--3771. MR3165241
- Li, YanYan; Nguyen, Luc, A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary, Adv. in Math. 251 (2013), 87--110. MR3130336
- Nguyen, Luc; Tian, Gang, On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes, Class. Quantum Grav. 30 (2013), 165010. 26 pp. MR3094875
- Nguyen, Luc; Zarnescu, Arghir, Refined approximation for minimizers of a Landau-de Gennes energy functional, Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 383--432.MR3044143
- Briane, Marc; Capdeboscq, Yves; Nguyen, Luc, Interior regularity estimates in high conductivity homogenization and application, Arch. Ration. Mech. Anal. 207 (2013), no. 1, 75--137.MR3004768
- Chruściel, Piotr T.; Eckstein, Michał; Nguyen, Luc; Szybka, Sebastian J., Existence of singularities in two-Kerr black holes, Class. Quantum Grav. 28 (2011), no. 28, 245017, 16 pp.MR2865320
- Nguyen, Luc, Singular harmonic maps and applications to general relativity, Comm. Math. Phys. 301 (2011), no. 2, 411--441. MR2764993
- Chruściel, Piotr T.; Nguyen, Luc, A uniqueness theorem for degenerate Kerr-Newman black holes, Ann. Henri Poincaré 11 (2010), no. 4, 585--609. MR2677740