A variational approach to the quaternionic Hessian equation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911908253138944 |
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| author | Amal, Hichame Asserda, Saïd Barloub, Mohamed |
| author_facet | Amal, Hichame Asserda, Saïd Barloub, Mohamed |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A variational approach to the quaternionic Hessian equation Amal, Hichame Asserda, Saïd Barloub, Mohamed Complex Variables 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. |
| title | A variational approach to the quaternionic Hessian equation |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2406.03985 |