Shiguang Ma

activity

20242026

collaborators

3 papers

math.DG2026

Cohn-Vossen theory for locally conformally flat manifolds

Shiguang Ma

We establish a refined singularity estimate for nonnegative n-superharmonic functions. For complete noncompact locally conformally flat manifolds with nonnegative Ricci curvature,…

math.AP2025

Isolated singularities of solutions of certain quasi-linear elliptic inequalities

Shiguang Ma, Shengyang Zang

We provide a complete classification of the asymptotic behavior of isolated singularities for solutions satisfying \[ 0\le-Î_{p}u(x)\le Ïu^{\frac{n(p-1)}{n-p}} (x),\,\,u(x)\ge0,\…

math.AP2024

$N$ -Laplacian and $N /2$ -Hessian type equations with exponential reaction term and measure data

Shiguang Ma, Zijian Wang

In this article, we will prove existence results for the equations of the type $- I^_{N} u = H_{l} (u) + I^¼$ and $F_{\frac{N}{2}} [- u] = H_{l} (u) + I^¼$ in a bounded domain $I^c ◯$ , with Dirichlet…

Cohn-Vossen theory for locally conformally flat manifolds

Isolated singularities of solutions of certain quasi-linear elliptic inequalities

N -Laplacian and N/2-Hessian type equations with exponential reaction term and measure data

$N$ -Laplacian and $N /2$ -Hessian type equations with exponential reaction term and measure data