Shijin Zhang

collaborators

2 papers

math.DG2025

One Dimensional Asymptotic Plateau Problem in $n$ -Dimensional Asymptotically Conical Manifolds

Jiayin Liu, Shijin Zhang, Yuan Zhou

Let $(M, g)$ be an asymptotically conical Riemannian manifold having dimension $n \geq 2$ , opening angle $I^\pm \in (0, I ¨ /2) ∖ {arcsin \frac{1}{2 k + 1}}_{k \in N}$ and p…

math.AP2024

A quantitative second order estimate for (weighted) $p$ -harmonic functions in manifolds under curvature-dimension condition

Jiayin Liu, Shijin Zhang, Yuan Zhou

We build up a quantitative second order Sobolev estimate of $ln w$ for positive $p$ -harmonic functions $w$ in Riemannian manifolds under Ricci curvature bounded from blow and als…

One Dimensional Asymptotic Plateau Problem in n-Dimensional Asymptotically Conical Manifolds

A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition

One Dimensional Asymptotic Plateau Problem in $n$ -Dimensional Asymptotically Conical Manifolds

A quantitative second order estimate for (weighted) $p$ -harmonic functions in manifolds under curvature-dimension condition