A variational approach to the quaternionic Hessian equation
Complex Variables
2024-06-07 v1
Abstract
In this paper, we introduce finite energy classes of quaternionic -plurisubharmonic functions of Cegrell type and define the quaternionic -Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic -Hessian equation when the right-hand side is a positive Radon measure.
Cite
@article{arxiv.2406.03985,
title = {A variational approach to the quaternionic Hessian equation},
author = {Hichame Amal and Saïd Asserda and Mohamed Barloub},
journal= {arXiv preprint arXiv:2406.03985},
year = {2024}
}