Shiguang Ma

activity

20242026

collaborators

4 papers

math.AP2026

Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups

Shiguang Ma, Zijian Wang

In this paper, we establish existence and pointwise Wolff potential bounds for nonnegative solutions of $- Δ_{G, p} u = H_{l} (α u^{β}) + μ$ on Carnot groups, where $H_l(t)=e^t-\sum_{j…

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-Δ_{p}u(x)\le τu^{\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 $- Δ_{N} u = H_{l} (u) + μ$ and $F_{\frac{N}{2}} [- u] = H_{l} (u) + μ$ in a bounded domain $Ω$ , with Dirichlet bou…

Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups

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