Symmetries and other transformations of the complex Monge-Ampère equation

DOI10.1215/S0012-7094-85-05245-7zbMath0598.35037OpenAlexW1520481921MaRDI QIDQ1079734

László Lempert

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05245-7

zbMATH Keywords

symmetrycomplex Monge-Ampère equationexterior Dirichlet problem

Mathematics Subject Classification ID

Differential complexes (58J10) Variational methods for second-order elliptic equations (35J20)

Related Items (16)

Boundary behavior of extremal plurisubharmonic functions ⋮ Evans-Krylov estimates for a nonconvex Monge-Ampère equation ⋮ Polynomial hulls and an optimization problem ⋮ Exterior Monge-Ampère solutions ⋮ An inequality for Fourier-Laplace transforms of entire functions, and the existence of exponential frames in Fock space ⋮ Chebyshev and Robin constants on algebraic curves ⋮ A twistor transform and normal forms for Cauchy Riemann structures ⋮ The exterior Dirichlet problem for the homogeneous complex \(k\)-Hessian equation ⋮ Extremal functions for real convex bodies ⋮ The complex Monge-Ampère equation, Zoll metrics and algebraization ⋮ Pluripotential theory for convex bodies in \(\mathbb R^N\) ⋮ On Three-Dimensional Cauchy-Riemann Manifolds ⋮ Isometries in spaces of Kähler potentials ⋮ Unnamed Item ⋮ Extremal functions for real convex bodies: simplices, strips, and ellipses ⋮ Bordered complex Hessians

Cites Work

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• Solving the degenerate complex Monge-Ampère equation with one concentrated singularity
• A new capacity for plurisubharmonic functions
• The Dirichlet problem for a complex Monge-Ampère equation
• The partial Legendre transformation for plurisubharmonic functions
• Holomorphic retracts and intrinsic metrics in convex domains
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• La métrique de Kobayashi et la représentation des domaines sur la boule

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