2 papers
math.CV2025
The Hessian equation in quaternionic space
Hichame Amal, Saïd Asserda, Mohamed Barloub
In this paper, we introduce -subharmonic functions in quaternionic space , we define the quaternionic Hessian operator and solve the homogeneous Dirichlet proble…
math.CV2024
A variational approach to the quaternionic Hessian equation
Hichame Amal, Saïd Asserda, Mohamed Barloub
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…