Yaxiong Liu

collaborators

2 papers

math.CV2026

Some variational problems for the complex Monge--Amp{è}re operator

Jianchun Chu, Yaxiong Liu, Nicholas McCleerey +1

We consider the Dirichlet problem for the complex Monge--Ampère equation on strongly pseudoconvex Kähler manifolds when the right-hand side is decreasing in the solution. Using flo…

math.CV2024

The Eigenvalue Problem for the Complex Hessian Operator on $m$ -Pseudoconvex Manifolds

Jianchun Chu, Yaxiong Liu, Nicholas McCleerey

We establish $C^{1, 1}$ -regularity and uniqueness of the first eigenfunction of the complex Hessian operator on strongly $m$ -pseudoconvex manifolds, along with a variational formula…

Some variational problems for the complex Monge--Amp{è}re operator

The Eigenvalue Problem for the Complex Hessian Operator on m-Pseudoconvex Manifolds

The Eigenvalue Problem for the Complex Hessian Operator on $m$ -Pseudoconvex Manifolds