Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.

David Monn

Displaying similar documents to “Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.”

Solving the Degenerate Complex Monge-Ampère Equation with One Concentrated Singularity.

Laszló Lempert (1983)

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A Fundamental Property of Monge Characteristics in Involutive Systems of Non-Linear Partial Differential Equations and its Application.

Kunio Kakié (1985/86)

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Regularity of Generalized Solutions of Monge-Ampère Equations.

John I.E. Urbas (1988)

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On the Dirichlet Problem for the Complex Monge-Ampère Operator.

Urban Cegrell (1984)

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Geometric methods for solving Codazzi and Monge-Ampère equations.

U. Pinkall, A. Schwenk-Schellschmidt (1994)

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A counterexample to the regularity of the degenerate complex Monge-Ampère equation

Szymon Pliś (2005)

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We modify an example due to X.-J. Wang and obtain some counterexamples to the regularity of the degenerate complex Monge-Ampère equation on a ball in ℂⁿ and on the projective space ℙⁿ.

Radially symmetric plurisubharmonic functions

Per Åhag, Rafał Czyż, Leif Persson (2012)

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In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions....