Quaternionic Monge-Ampère equations

Semyon Alesker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


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 ℍ n . We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].

Original languageEnglish
Pages (from-to)205-238
Number of pages34
JournalJournal of Geometric Analysis
Issue number2
StatePublished - 2003


  • Monge-Ampére
  • equations
  • non-commutative determinants
  • plurisubharmonic functions
  • quaternions


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