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

Fuente: arXiv
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Autori principali: Anh, Hoang Thieu, Hai, Le Mau, Dieu, Nguyen Quang, Van Phu, Nguyen
Natura: Preprint
Pubblicazione: 2025
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author Anh, Hoang Thieu
Hai, Le Mau
Dieu, Nguyen Quang
Van Phu, Nguyen
author_facet Anh, Hoang Thieu
Hai, Le Mau
Dieu, Nguyen Quang
Van Phu, Nguyen
contents In this paper, we study Hessian type equations for $m-ω$ 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 $\mathbb{C}^n$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05395
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hessian type equations for $m-ω-$subharmonic functions on bounded domains in $\mathbb C^n$
Anh, Hoang Thieu
Hai, Le Mau
Dieu, Nguyen Quang
Van Phu, Nguyen
Complex Variables
32U05, 32W20
In this paper, we study Hessian type equations for $m-ω$ 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 $\mathbb{C}^n$.
title Hessian type equations for $m-ω-$subharmonic functions on bounded domains in $\mathbb C^n$
topic Complex Variables
32U05, 32W20
url https://arxiv.org/abs/2503.05395