Quaternionic Monge-Ampère equations
By Semyon Alesker. 2002
53 citations recorded by the source corpus.
The main result of this article is the existence and uniqueness of the solution of the Dirichlet problem for quaternionic Monge-Ampère equations in quaternionic strictly pseudoconvex bounded domains in ℍn. We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].
View Paper: https://www.semanticscholar.org/paper/23857e0b6fcdf8075a5ce3cff052bec18a47dc51
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- Misha Verbitsky
- Semyon Alesker
- A. Bernig
- Franz E. Schuster
- Monika Ludwig
- Judit Abardia
- Joseph H. G. Fu
- Daniel Hug
Citations in the corpus
- Dirichlet duality and the nonlinear Dirichlet problem (2007, unknown): “, 1 D 0 (see, for example, [1, 3, 4, 5, 21]).”
- Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds (2008, methodology): “introduced in [ A1 ] and independently by G. Henkin around the same time (unpublished), and on general hypercomplex manifolds in [AV].”