A variational approach to the quaternionic Hessian equation

Autor:	Amal, Hichame, Asserda, Saïd, Barloub, Mohamed
Rok vydání:	2024
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce finite energy classes of quaternionic $m$-plurisubharmonic functions of Cegrell type and define the quaternionic $m$-Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic $m$-Hessian equation when the right-hand side is a positive Radon measure.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.03985 Zobrazit plný text záznamu View this record from Arxiv