On stability and continuity of bounded solutions of degenerate complex Monge-Ampère equations over compact Kähler manifolds

DOI10.1016/j.aim.2010.03.001zbMath1210.32020OpenAlexW1969937507MaRDI QIDQ986082

Zhou Zhang, Sławomir Dinew

Publication date: 11 August 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.03.001

zbMATH Keywords

stabilityKähler manifoldcomplex Monge-Ampère operatorbig form

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Currents (32U40)

Related Items (22)

Geometric methods of complex analysis. Abstracts from the workshop held April 10--16, 2011. ⋮ The Dini type condition in the existence of continuous solutions to the complex Monge-Ampère equations on compact Kähler manifolds ⋮ Smooth approximations of the conical Kähler-Ricci flows ⋮ Families of Monge-Ampère measures with Hölder continuous potentials ⋮ Stability of solutions to complex Monge-Ampère flows ⋮ Regularity of push-forward of Monge-Ampère measures ⋮ The complex Monge-Ampère type equation on compact Hermitian manifolds and applications ⋮ On the collapsing of Calabi-Yau manifolds and Kähler-Ricci flows ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ Hölder continuous solutions to Monge-Ampère equations ⋮ Characterization of Monge-Ampère measures with Hölder continuous potentials ⋮ Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds ⋮ The Kähler-Ricci flow through singularities ⋮ Viscosity solutions to degenerate complex monge-ampère equations ⋮ The conical complex Monge-Ampère equations on Kähler manifolds ⋮ Kähler-Ricci flow with degenerate initial class ⋮ Complex Monge-Ampère equation for measures supported on real submanifolds ⋮ An inequality for mixed Monge-Ampère measures ⋮ Stability estimates for the complex Monge-Ampère and Hessian equations ⋮ Local noncollapsing for complex Monge-Ampère equations ⋮ Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds ⋮ Canonical measures and Kähler-Ricci flow

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