The complex Monge-Ampère equation with a gradient term

DOI10.4310/PAMQ.2021.V17.N3.A7zbMath1477.32061arXiv1906.10034MaRDI QIDQ2031896

Valentino Tosatti, Ben Weinkove

Publication date: 15 June 2021

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10034

zbMATH Keywords

Monge-Ampère equationHermitian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Complex Monge-Ampère operators (32W20)

Related Items (6)

The Neumann problem for a type of fully nonlinear complex equations ⋮ The complex Hessian equations with gradient terms on Hermitian manifolds ⋮ Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds ⋮ On \(L^\infty\) estimates for complex Monge-Ampère equations ⋮ Second order estimates for complex Hessian equations with gradient terms on both sides ⋮ Second order estimates for a class of complex Hessian equations on Hermitian manifolds

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