Continuous solutions of Dirichlet problem to Hessian type equations for $(\ddot{I}‰,m)-{\hat{I}}^2$-subharmonic functions on a ball in ${\mathbb{C}}^n$

Abstract

In this paper, we investigate the continuity of solutions to the Dirichlet problem for complex Hessian-type equations associated with $(\ddot{I}‰,m)-{\hat{I}}^2$-subharmonic functions on a ball in ${\mathbb{C}}^n$, where ${\hat{I}}^2=d{d}^c\Vert z{\Vert }^2=\frac{i}{2}{\sum }_{j=1}^{n}d{z}_j\wedge d{\bar{z}}_j$ is denoted the flat metric on ${\mathbb{C}}^n$.

11 pages, accepted in Mathematica Slovaca