Jianchun Chu

collaborators

Showing math.CVShow all

2 papers · 1 filter

math.CV2026

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

Jianchun Chu, Yaxiong Liu, Nicholas McCleerey +1

We consider the Dirichlet problem for the complex Monge--AmpÃ¨re equation on strongly pseudoconvex KÃ¤hler manifolds when the right-hand side is decreasing in the solution. Using f…

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{Ã¨}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