A Fundamental Property of Monge Characteristics in Involutive Systems of Non-Linear Partial Differential Equations and its Application.
Kunio Kakié (1985/86)
Mathematische Annalen
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Displaying similar documents to “Solving the Degenerate Complex Monge-Ampère Equation with One Concentrated Singularity.”
A Fundamental Property of Monge Characteristics in Involutive Systems of Non-Linear Partial Differential Equations and its Application.
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John I.E. Urbas (1988)
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Szymon Pliś (2005)
Annales Polonici Mathematici
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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.
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Machida, Y., Morimoto, T. (1999)
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Geometric methods for solving Codazzi and Monge-Ampère equations.
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Eric Bedford (1982)
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László Lempert, Róbert Szöke (1991)
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Dieter Riebesehl, Friedmar Schulz (1984)
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A characterization of bounded plurisubharmonic functions
Pham Hoang Hiep (2005)
Annales Polonici Mathematici
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We give a characterization for boundedness of plurisubharmonic functions in the Cegrell class ℱ.
Sums of Continuous Plurisubharmonic Functions and the Complex Monge-Ampère Operator in ....n.
Urban Cegrell (1986)
Mathematische Zeitschrift
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Matrix inequalities and the complex Monge-Ampère operator
Jonas Wiklund (2004)
Annales Polonici Mathematici
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We study two known theorems regarding Hermitian matrices: Bellman's principle and Hadamard's theorem. Then we apply them to problems for the complex Monge-Ampère operator. We use Bellman's principle and the theory for plurisubharmonic functions of finite energy to prove a version of subadditivity for the complex Monge-Ampère operator. Then we show how Hadamard's theorem can be extended to polyradial plurisubharmonic functions.