English

Hessian type equations for $m-\omega-$subharmonic functions on bounded domains in $\mathbb C^n$

Complex Variables 2025-06-17 v2

Abstract

In this paper, we study Hessian type equations for mωm-\omega subharmonic functions. Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounded solutions for such equations on bounded domains in Cn\mathbb{C}^n.

Keywords

Cite

@article{arxiv.2503.05395,
  title  = {Hessian type equations for $m-\omega-$subharmonic functions on bounded domains in $\mathbb C^n$},
  author = {Hoang Thieu Anh and Le Mau Hai and Nguyen Quang Dieu and Nguyen Van Phu},
  journal= {arXiv preprint arXiv:2503.05395},
  year   = {2025}
}