Open problems in pluripotential theory (Q5739787)

scientific article; zbMATH DE number 6604569

Language	Label	Description	Also known as
English	Open problems in pluripotential theory	scientific article; zbMATH DE number 6604569

Statements

instance of

scholarly article

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title

Open problems in pluripotential theory (English)

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Complex Variables and Elliptic Equations

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publication date

20 July 2016

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full work available at URL

https://arxiv.org/abs/1511.00705

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zbMATH Keywords

Monge-Ampère equations

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plurisubharmonic functions

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Lelong numbers

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Kähler manifolds

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MaRDI profile type

MaRDI publication profile

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cites work

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Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype

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Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle

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The domain of definition of the complex Monge-Ampere operator

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Foliations and complex monge-ampère equations

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Domains of definition of Monge-Ampère operators on compact Kähler manifolds

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The weighted Monge-Ampère energy of quasiplurisubharmonic functions

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Valuations and plurisubharmonic singularities

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Analytic approximations of plurisubharmonic singularities

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Q4524284

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Invariant currents and dynamical Lelong numbers

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Quasiplurisubharmonic Green functions

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Fine topology, Šilov boundary, and $(dd^ c)^ n$

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Monge-Ampère equations in big cohomology classes

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Pluricomplex energy

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Uniqueness in $\mathcal E(X,\omega)$

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Monge-Ampère measures on pluripolar sets

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Monge-Ampère measures on subvarieties

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The Dirichlet problem for a complex Monge-Ampère equation

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The complex Monge-Ampère equation

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The range of the complex Monge-Ampere operator II

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THE SET OF MEASURES GIVEN BY BOUNDED SOLUTIONS OF THE COMPLEX MONGE–AMPÈRE EQUATION ON COMPACT KÄHLER MANIFOLDS

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Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$

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Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions

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Hölder continuous solutions to Monge-Ampère equations

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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 Dirichlet problem for the complex Monge-Ampère operator: Stability in $L^ 2$

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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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Hölder continuous potentials on manifolds with partially positive curvature

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Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds

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Viscosity solutions to degenerate complex monge-ampère equations

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Existence of minimal models for varieties of log general type

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Interior $W^{2,p}$ estimates for solutions of the Monge-Ampère equation

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Probabilistic Approach to Regularity

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Dirichlet Problem in Domains of ℂ n

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The pluricomplex Green function with two poles of the unit ball of $\mathbb{C}^n$

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Invariance of the pluricomplex green function under proper mappings with applications

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Complex Monge-Ampère equations and totally real submanifolds

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Q3147685

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Identifiers

zbMATH Open document ID

1345.32040

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DOI

10.1080/17476933.2015.1121481

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5739787