Yi C. Huang

collaborators

4 papers

math.AP2026

On Brezis Open Problem 3.1

Qi Guo, Xueping Huang, Yi C. Huang +2

Let $B_{1}$ be the unit disk in $R^{2}$ . We consider the harmonic map equation $- I^ u = ∣\nabla u ∣^{2} u,$ subject to the Dirichlet boundary condition $ u(e^{iÎ¸})=(R\cosÎ¸,R\si…

math.GT2025

Moduli spaces of open strings have polylogarithmic Mirzakhani volumes

Yi Huang, Ivan Telpukhovskiy

We show that the Mirzakhani volume, as introduced by Chekhov, of the moduli space of every crowned hyperbolic surface is naturally expressible as a sum of Gaussian rational multipl…

math.CA2025

Refined Qualitative Properties of Euclidean Heat Content

Yi C. Huang

Invoking a rather simple semigroup approach, we refine the recent qualitative properties of Euclidean heat content obtained by van den Berg and Gittins.

math.AP2025

On the Moutard transformation singularity for the Davey--Stewartson II equation

Yi C. Huang

We indicate explicitly how to obtain the Moutard transformation singularity for the Davey--Stewartson II equation with two indeterminancy points. We also justify an arbitrary order…