Luc Nguyen

activity

20112026

most citedRegularity of viscosity solutions of the

σ_{k}

-Loewner-Nirenberg problem

9 citations · 15 across the 9 of their papers we have counts for

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Showing 2021 · math.APShow all

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math.AP2021

Local minimality of $R^{N}$ -valued and $S^{N}$ -valued Ginzburg-Landau vortex solutions in the unit ball $B^{N}$

Radu Ignat, Luc Nguyen

We study the existence, uniqueness and minimality of critical points of the form $m_{ε, η} (x) = (f_{ε, η} (∣ x ∣) \frac{x}{∣ x ∣}, g_{ε, η} (∣ x ∣))$ of the funct…

math.AP2021

The axisymmetric $σ_{k}$ -Nirenberg problem

Yanyan Li, Luc Nguyen, Bo Wang

We study the problem of prescribing $σ_{k}$ -curvature for a conformal metric on the standard sphere $S^{n}$ with $2 \leq k < n /2$ and $n \geq 5$ in axisymmetry. Compactness, n…

Local minimality of RN-valued and SN-valued Ginzburg-Landau vortex solutions in the unit ball BN

The axisymmetric σk​-Nirenberg problem

Local minimality of $R^{N}$ -valued and $S^{N}$ -valued Ginzburg-Landau vortex solutions in the unit ball $B^{N}$

The axisymmetric $σ_{k}$ -Nirenberg problem