A priori estimates for weak solutions of complex Monge-Amp\`ere equations

zbMath1150.32011arXiv0704.0866MaRDI QIDQ3509948

Ahmed Zeriahi, Slimane Benelkourchi, Vincent Guedj

Publication date: 25 June 2008

Full work available at URL: https://arxiv.org/abs/0704.0866

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

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Weighted pluricomplex energy ⋮ Complex Monge-Ampère equations on quasi-projective varieties ⋮ Solutions to degenerate complex Hessian equations ⋮ A viscosity approach to degenerate complex Monge-Ampère equations ⋮ Monge-Ampère equations in big cohomology classes ⋮ Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors ⋮ Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampère operator ⋮ Hölder continuous solutions to Monge-Ampère equations ⋮ Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor ⋮ Choquet-Monge-Ampère classes ⋮ On stability and continuity of bounded solutions of degenerate complex Monge-Ampère equations over compact Kähler manifolds

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