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arXiv · 2310.16774

The Hessian equation in quaternionic space

Hichame Amal·Saïd Asserda·Mohamed Barloub
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Abstract

In this paper, we introduce $m$-subharmonic functions in quaternionic space $\mathbb{H}^{n}$, 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.

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Hichame Amal, Saïd Asserda, Mohamed Barloub. 2023-10-25. The Hessian equation in quaternionic space. https://arxiv.org/abs/2310.16774

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