Zhenghuan Gao

collaborators

2 papers

math.AP2023

The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity

Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang

In this paper, we consider the homogeneous complex k-Hessian equation in $Ω\ {0}$ . We prove the existence and uniqueness of the $C^{1, α}$ solution by constructing approxi…

math.AP2023

The Dirichlet problem of the homogeneous $k$ -Hessian equation in a punctured domain

Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang

In this paper, we consider the Dirichlet problem for the homogeneous $k$ -Hessian equation with prescribed asymptotic behavior at $0 \in Ω$ where $Ω$ is a $(k - 1)$ -convex bounded domai…

The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity

The Dirichlet problem of the homogeneous k-Hessian equation in a punctured domain

The Dirichlet problem of the homogeneous $k$ -Hessian equation in a punctured domain