Complex $m$-Hessian Type Equations in Weighted Energy Classes of $m$-subharmonic Functions with Given Boundary Value
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 $f \in \mathcal{N}_{m}(\Omega) \cap MSH_{m}(\Omega)$.
Authors
- Nguyen Van Phu (ORCID: https://orcid.org/0000-0002-2851-7250)
- Quang Dieu Nguyen (ORCID: https://orcid.org/0000-0002-0213-6652)
Institutions
- Electric Power University (VN)
- Hanoi National University of Education (VN)
Publication Details
- Journal
- Taiwanese Journal of Mathematics
- Published
- 2024-12-26
- DOI
- https://doi.org/10.11650/tjm/241204
- Citations
- 1
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- National Foundation for Science and Technology Development