On \(L^\infty\) estimates for complex Monge-Ampère equations

DOI10.4007/annals.2023.198.1.4zbMath1525.35121arXiv2106.02224OpenAlexW3168961624MaRDI QIDQ6158374

Freid Tong, Bin Guo, Duong H. Phong

Publication date: 31 May 2023

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02224

zbMATH Keywords

auxiliary equationsenergy and entropy estimatesfully non-linear equationstest function for comparison

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nonlinear elliptic equations (35J60) Other complex differential geometry (53C56) Complex Monge-Ampère operators (32W20) Monge-Ampère equations (35J96)

Related Items (6)

Quasi-plurisubharmonic envelopes 3: solving Monge-Ampère equations on Hermitian manifolds ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ A new gradient estimate for the complex Monge-Ampère equation ⋮ The weak solutions to complex Hessian equations ⋮ 𝐿^{∞} estimates for Kähler-Ricci flow on Kähler-Einstein Fano manifolds: A new derivation ⋮ On \(L^{\infty}\) estimates for Monge-Ampère and Hessian equations on nef classes

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