Regularity of Generalized Solutions of Monge-Ampère Equations.
John I.E. Urbas (1988)
Mathematische Zeitschrift
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Displaying similar documents to “A Priori Estimates and a Liouvielle Theorem for Complex Monge-Ampère Equations.”
Regularity of Generalized Solutions of Monge-Ampère Equations.
Sums of Continuous Plurisubharmonic Functions and the Complex Monge-Ampère Operator in ....n.
Urban Cegrell (1986)
Mathematische Zeitschrift
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On a problem of Monge.
Kantorovich, L.V. (2004)
Journal of Mathematical Sciences (New York)
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A Priori Estimates and a Liouville Theorem for Elliptic Monge-Ampère Equations.
Friedmar Schulz (1983)
Mathematische Annalen
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On the Dirichlet Problem for the Complex Monge-Ampère Operator.
Urban Cegrell (1984)
Mathematische Zeitschrift
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Subextension of plurisubharmonic functions without increasing the total Monge-Ampère mass
Rafał Czyż, Lisa Hed (2008)
Annales Polonici Mathematici
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We prove that subextension of certain plurisubharmonic functions is always possible without increasing the total Monge-Ampère mass.
On decomposable Monge-Ampère equations.
Machida, Y., Morimoto, T. (1999)
Lobachevskii Journal of Mathematics
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The behaviour of solutions to elliptic Monge-Ampère equations at singular points.
Ralf Beyerstedt (1994)
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.
A counterexample to the regularity of the degenerate complex Monge-Ampère equation
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.
Solving the Degenerate Complex Monge-Ampère Equation with One Concentrated Singularity.
Laszló Lempert (1983)
Mathematische Annalen
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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.
Removable singularities of solutions to elliptic Monge-Ampère equations.
Ralf Beyerstedt (1991)
Mathematische Zeitschrift
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