The Hessian equation in quaternionic space
Complex Variables
2025-04-30 v5
Abstract
In this paper, we introduce -subharmonic functions in quaternionic space , we define the quaternionic Hessian operator and solve the homogeneous Dirichlet problem for the quaternionic Hessian equation on the unit ball with continuous boundary data.
Cite
@article{arxiv.2310.16774,
title = {The Hessian equation in quaternionic space},
author = {Hichame Amal and Saïd Asserda and Mohamed Barloub},
journal= {arXiv preprint arXiv:2310.16774},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:1901.07080 by other authors