Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds

DOI10.1007/s00209-002-0483-xzbMath1076.32036OpenAlexW1970777358MaRDI QIDQ1395407

Zbigniew Błocki

Publication date: 1 July 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0483-x

zbMATH Keywords

Kähler manifoldsdegenerate Monge-Ampère equationregularity of generalized solutions

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)

Related Items (14)

Hölder continuous potentials on manifolds with partially positive curvature ⋮ The Dirichlet problem for degenerate curvature equations ⋮ The Dirichlet problem for a class of prescribed curvature equations ⋮ The degenerate Monge-Ampère equations with the Neumann condition ⋮ Cyclic polynomials in Dirichlet-type spaces in the unit ball of \(\mathbb{C}^2\) ⋮ Second order estimates for convex solutions of degenerate \(k\)-Hessian equations ⋮ On boundary blow-up problems for the complex Monge-Ampère equation ⋮ DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS ⋮ A gradient estimate in the Calabi-Yau theorem ⋮ Regularity of degenerate Hessian equations ⋮ The Complex Monge–Ampère Equation in Kähler Geometry ⋮ Regularity of degenerate \(k\)-Hessian equations on closed Hermitian manifolds ⋮ \(C^{1,1}\) regularity of geodesics in the space of volume forms ⋮ Neumann problem for Monge-Ampere type equations revisited.

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