8 papers
On Brezis Open Problem 3.1
Qi Guo, Xueping Huang, Yi C. Huang +2
Let be the unit disk in . We consider the harmonic map equation subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\si…
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…
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.
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…
On a pointwise inequality for even Legendre polynomials in high dimensional spheres
Shirong Chen, Yi C. Huang, Jian-Yang Zhang
We present a pointwise inequality for adjacent even Legendre polynomials in high dimensional spheres featuring the effect of spectral gaps. This improves a recent result of Imbert,…
A one-line proof of a minimax theorem (for a notion of curvature on finite graphs)
Yi C. Huang
A one-line proof of a minimax theorem due to Steinerberger is given.