Dekai Zhang

activity

20152026

most citedHessian equations on closed Hermitian manifolds

31 citations · 46 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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…

math.DG2023

The Monge-Ampère equation for $(n - 1)$ -quaternionic PSH functions on a hyperKähler manifold

Jixiang Fu, Xin Xu, Dekai Zhang

We prove the existence of unique smooth solutions to the quaternionic Monge-Ampère equation for $(n - 1)$ -quaternionic plurisubharmonic functions on a hyperKähler manifold and thus o…

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 Monge-Ampère equation for (n−1)-quaternionic PSH functions on a hyperKähler manifold

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

The Monge-Ampère equation for $(n - 1)$ -quaternionic PSH functions on a hyperKähler manifold