The complex Monge-Ampère equation with a gradient term

Valentino Tosatti; Ben Weinkove

doi:10.4310/PAMQ.2021.v17.n3.a7

The complex Monge-Ampère equation with a gradient term

Valentino Tosatti, Ben Weinkove

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	1005-1024
Number of pages	20
Journal	Pure and Applied Mathematics Quarterly
Volume	17
Issue number	3
DOIs	https://doi.org/10.4310/PAMQ.2021.v17.n3.a7
State	Published - 2021

ASJC Scopus subject areas

General Mathematics

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10.4310/PAMQ.2021.v17.n3.a7

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title = "The complex Monge-Amp{\`e}re equation with a gradient term",

abstract = "We consider the complex Monge-Amp{\`e}re equation with an additional linear gradient term inside the determinant.We prove existence and uniqueness of solutions to this equation on compact Hermitian manifolds.",

author = "Valentino Tosatti and Ben Weinkove",

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The complex Monge-Ampère equation with a gradient term

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