The Bieberbach-Rademacher problem for the Monge-Ampère operator.
Jerk Matero (1996)
Manuscripta mathematica
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Jerk Matero (1996)
Manuscripta mathematica
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Zhen Mei (1992)
Manuscripta mathematica
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Nicolas Dutertre (1997)
Manuscripta mathematica
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Abbas Bahri (2006)
Journal of the European Mathematical Society
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We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
Kantorovich, L.V. (2004)
Journal of Mathematical Sciences (New York)
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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.
Dieter Riebesehl, Friedmar Schulz (1984)
Mathematische Zeitschrift
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Udrişte, C., Bîlă, N. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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B. Franchi, N. Kutev, S. Polidoro (1993)
Manuscripta mathematica
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Machida, Y., Morimoto, T. (1999)
Lobachevskii Journal of Mathematics
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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.
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.
Jolanta Przybycin (1989)
Annales Polonici Mathematici
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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.
Friedmar Schulz (1983)
Mathematische Annalen
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Wolfgang Rother (1989)
Manuscripta mathematica
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