The complex Monge-Ampère equation with a gradient term

Valentino Tosatti, Ben Weinkove

Research output: Contribution to journalArticlepeer-review


We consider the complex Monge-Ampère equation with an additional linear gradient term inside the determinant.We prove existence and uniqueness of solutions to this equation on compact Hermitian manifolds.

Original languageEnglish (US)
Pages (from-to)1005-1024
Number of pages20
JournalPure and Applied Mathematics Quarterly
Issue number3
StatePublished - 2021

ASJC Scopus subject areas

  • General Mathematics


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