X. H. Nguyen

activity

20062026

most citedComplete Embedded Self-Translating Surfaces under Mean Curvature Flow

33 citations · 71 across the 17 of their papers we have counts for

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5 papers · 1 filter

math.AP2026

Concavity of the Ornstein--Uhlenbeck torsion function on centered ellipses and its failure on convex domains

Xuan Hien Nguyen, Alina Stancu

Let $u$ be the torsion function of a bounded domain $Ω$ in $R^{n}$ for the Ornstein--Uhlenbeck operator, that is, the solution of $- Δ u + x \cdot \nabla u = 1$ in $Ω$ with $u=0…

math.AP2026

Failure of a Brunn-Minkowski-type inequality for the Gaussian torsional rigidity

Xuan Hien Nguyen, Alina Stancu

Let $u$ be the torsion function for the Ornstein-Uhlenbeck operator on a bounded domain $Ω \subset R^{n}$ , i.e., the solution of $Δ u - x \cdot \nabla u = - 1$ in $Ω$ with $u =…

math.AP2025

Constant potentials do not minimise the fundamental gap on convex domains in hyperbolic space

Julie Clutterbuck, Frieder Jäckel, Xuan Hien Nguyen

We show that for every $n \geq 2$ and $D > 0$ there exist a convex domain $Ω \subseteq H^{n}$ with diameter $D$ and a convex potential $V$ on $Ω$ such that the fundamental gap…

math.AP2025

Regularity of solutions to degenerate and singular free boundary problems with volume constraint

T. M. Nascimento, X. H. Nguyen, P. R. Stinga

We prove existence and regularity of solutions to degenerate and singular elliptic free boundary problems, where the volume of the positivity set of the solution is prescribed.

math.AP2015★ 6 cited

Finite topology self-translating surfaces for the mean curvature flow in $R^{3}$

Juan Dávila, Manuel del Pino, Xuan Hien Nguyen

Finite topology self translating surfaces to mean curvature flow of surfaces constitute a key element for the analysis of Type II singularities from a compact surface, since they a…