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…