Work

Complex $m$-Hessian Type Equations in Weighted Energy Classes of $m$-subharmonic Functions with Given Boundary Value

Year: 2024

Type: article

Abstract: In this paper, we concern with the existence of solutions of the complex $m$-Hessian type equation $-\chi(u) H_{m}(u) = \mu$ in the class $\mathcal{E}_{m,\chi}(f,\Omega)$ if there exists subsolution in this class, where the given boundary value $f \in \mathcal{N}_{m}(\Omega) \cap MSH_{m}(\Omega)$.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm/241204

Authors: Nguyen Van Phu, Nguyen Quang Dieu

Institutions: Electric Power University, Hanoi National University of Education

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Foundation for Science and Technology Development

OpenAlex ID: W4405784185