Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball (Q2225918)

scientific article

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English	Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball	scientific article

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instance of

scholarly article

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title

Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball (English)

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author

Yanyan Li

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published in

Calculus of Variations and Partial Differential Equations

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publication date

11 February 2021

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full work available at URL

https://arxiv.org/abs/1809.07919

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zbMATH Keywords

complex Monge-Ampère equation

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Dirichlet problem

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interior estimates

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MaRDI profile type

MaRDI publication profile

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cites work

Q4098875

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The Dirichlet problem for a complex Monge-Ampère equation

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Variational Properties of the Complex Monge-Ampere Equation. II. Intrinsic Norms

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A new capacity for plurisubharmonic functions

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Interior regularity of the complex Monge-Ampère equation in convex domains

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The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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The complex Monge-Ampère equation on compact Kähler manifolds

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On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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Pluripotential estimates on compact Hermitian manifolds

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The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation

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Elliptic Partial Differential Equations of Second Order

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A correction to ``The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function''

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Complex Monge-Ampère equations and totally real submanifolds

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The extremal function associated to intrinsic norms.

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Kähler-Einstein metric on an open algebraic manifold

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The complex Monge-Ampère equation

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Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in $L^{p}$: the case of compact Kähler manifolds

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Weak solutions to the complex Monge-Amp\`ere equation on Hermitian manifolds

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A $\mathcal{C}^{2, \alpha}$ estimate of the complex Monge-Ampère equation

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Q3040080

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The complex Monge-Ampère type equation on compact Hermitian manifolds and applications

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On Calabi's conjecture for complex surfaces with positive first Chern class

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Kähler-Einstein metrics with positive scalar curvature

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On the existence of solutions of a class of Monge-Ampére equations

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Kähler-Einstein metrics on complex surfaces with $C_ 1>0$

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Complete Kahler Manifolds with Zero Ricci Curvature. I

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Complete Kähler manifolds with zero Ricci curvature. II

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$C^{2,\alpha}$ estimates for nonlinear elliptic equations in complex and almost complex geometry

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On the $C^{2,\alpha}$-regularity of the complex Monge-Ampère equation

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds

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Identifiers

zbMATH Open document ID

1458.32036

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Mathematics Subject Classification ID

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10.1007/S00526-020-01911-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2225918