X. H. Nguyen

activity

20172026

collaborators

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2 papers · 1 filter

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.