Genglong Lin

activity

20232026

collaborators

5 papers

math.CV2026

Some Integrability Properties of $m$ -Subharmonic Functions

Genglong Lin

Let $1 \leq m < n$ and let $u$ be an $m$ -subharmonic function on a domain in $C^{n}$ . We study local exponential and polynomial integrability, with particular attention to the s…

math.AP2025

The twisted constant in Calabi-Yau type equation

Genglong Lin

In this paper we establish a necessary and sufficient condition for solving a general class of fully nonlinear elliptic equations on compact almost Hermitian manifolds, extending a…

math.CV2025

Degenerate quarternionic Monge-Ampère equations in weighted energy classes

Genglong Lin

In this paper, we consider degenerate quaternionic Monge-Ampère equations in weighted energy class $E_{χ} (Ω)$ where $Ω$ is a quarternionic domain in $H^{n}$ and $χ$ …

math.DG2023

Monge-Ampère type equation on compact Hermitian manifolds

Yinji Li, Genglong Lin, Xiangyu Zhou

Given a cohomology $(1, 1)$ -class ${β}$ of compact Hermitian manifold $(X, ω)$ possessing a bounded potential and fixed a model potential $ϕ$ , motivated by Darvas-Di Nezza-Lu and L…

math.DG2023

Solution to Hessian type equations with prescribed singularity on compact Kahler manifold

Genglong Lin

Let $(X, ω)$ be a compact Kähler manifold of dimension $n$ and fix an integer $m$ such that $1 \leq m \leq n$ . We reformulate most relative pluripotential results of Darvas-DiNezza-Lu…

Some Integrability Properties of m-Subharmonic Functions

The twisted constant in Calabi-Yau type equation

Degenerate quarternionic Monge-Ampère equations in weighted energy classes

Monge-Ampère type equation on compact Hermitian manifolds

Solution to Hessian type equations with prescribed singularity on compact Kahler manifold

Some Integrability Properties of $m$ -Subharmonic Functions