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arXiv · 2503.19335

Bounded solution to Hessian type equations for $(\o,m)-\beta$-subharmonic functions on a ball in $\mathbb C^n$

Hoang Thieu Anh·Le Mau Hai·Nguyen Quang Dieu·Nguyen Van Phu
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Abstract

In this paper, we study Hessian type equations for $(\o,m)-\beta$-subharmonic functions on a ball in $\mathbb{C}^n$, where $\beta=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{z}_j$ is the flat metric on $\cn$. Using the recent results in \cite{KN23b}, we are able to show the existence of bounded solutions for Hessian type equations.

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Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu, Nguyen Van Phu. 2025-03-25. Bounded solution to Hessian type equations for $(\o,m)-\beta$-subharmonic functions on a ball in $\mathbb C^n$. https://arxiv.org/abs/2503.19335

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