On a problem of Monge.
Kantorovich, L.V. (2004)
Journal of Mathematical Sciences (New York)
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Displaying similar documents to “Subextension of plurisubharmonic functions without increasing the total Monge-Ampère mass”
On a problem of Monge.
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We give a characterization for boundedness of plurisubharmonic functions in the Cegrell class ℱ.
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Machida, Y., Morimoto, T. (1999)
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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.
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Szymon Pliś (2005)
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We give sufficient conditions for unicity of plurisubharmonic functions in Cegrell classes.
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The complex Monge-Ampère operator is a useful tool not only within pluripotential theory, but also in algebraic geometry, dynamical systems and Kähler geometry. In this self-contained survey we present a unified theory of Cegrell's framework for the complex Monge-Ampère operator.
Weak solutions to the complex Monge-Ampère equation on hyperconvex domains
Slimane Benelkourchi (2014)
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Jan Chrastina (1989)
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Symmetry Lie group of the Monge-Ampère equation.
Udrişte, C., Bîlă, N. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Yang Xing (2007)
Annales Polonici Mathematici
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Sławomir Kołodziej (1996)
Annales Polonici Mathematici
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We find a bounded solution of the non-homogeneous Monge-Ampère equation under very weak assumptions on its right hand side.
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Urban Cegrell, Leif Persson (1997)
Annales Polonici Mathematici
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We prove an energy estimate for the complex Monge-Ampère operator, and a comparison theorem for the corresponding capacity and energy. The results are pluricomplex counterparts to results in classical potential theory.
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Urban Cegrell (1984)
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