On a problem of Monge.
Kantorovich, L.V. (2004)
Journal of Mathematical Sciences (New York)
Similarity:
Displaying similar documents to “The complex Monge-Ampère operator in the Cegrell classes”
On a problem of Monge.
Subextension of plurisubharmonic functions without increasing the total Monge-Ampère mass
Rafał Czyż, Lisa Hed (2008)
Annales Polonici Mathematici
Similarity:
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
Similarity:
Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
Sławomir Kołodziej (1996)
Annales Polonici Mathematici
Similarity:
We find a bounded solution of the non-homogeneous Monge-Ampère equation under very weak assumptions on its right hand side.
A characterization of bounded plurisubharmonic functions
Pham Hoang Hiep (2005)
Annales Polonici Mathematici
Similarity:
We give a characterization for boundedness of plurisubharmonic functions in the Cegrell class ℱ.
Weak solutions to the complex Monge-Ampère equation on hyperconvex domains
Slimane Benelkourchi (2014)
Annales Polonici Mathematici
Similarity:
We show a very general existence theorem for a complex Monge-Ampère type equation on hyperconvex domains.
Matrix inequalities and the complex Monge-Ampère operator
Jonas Wiklund (2004)
Annales Polonici Mathematici
Similarity:
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.
On the Dirichlet Problem for the Complex Monge-Ampère Operator.
Urban Cegrell (1984)
Mathematische Zeitschrift
Similarity:
A unicity theorem for plurisubharmonic functions
Nguyen Quang Dieu (2011)
Annales Polonici Mathematici
Similarity:
We give sufficient conditions for unicity of plurisubharmonic functions in Cegrell classes.
A counterexample to the regularity of the degenerate complex Monge-Ampère equation
Szymon Pliś (2005)
Annales Polonici Mathematici
Similarity:
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.
On formal theory of differential equations. II.
Jan Chrastina (1989)
Časopis pro pěstování matematiky
Similarity:
A general Dirichlet problem for the complex Monge-Ampère operator
Urban Cegrell (2008)
Annales Polonici Mathematici
Similarity:
We study a general Dirichlet problem for the complex Monge-Ampère operator, with maximal plurisubharmonic functions as boundary data.
Symmetry Lie group of the Monge-Ampère equation.
Udrişte, C., Bîlă, N. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
A decomposition of complex Monge-Ampère measures
Yang Xing (2007)
Annales Polonici Mathematici
Similarity:
We prove a decomposition theorem for complex Monge-Ampère measures of plurisubharmonic functions in connection with their pluripolar sets.
An energy estimate for the complex Monge-Ampère operator
Urban Cegrell, Leif Persson (1997)
Annales Polonici Mathematici
Similarity:
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.
Existence of C... local Solutions for the Monge-Ampère equation.
J., Zuily, C. Hong (1987)
Inventiones mathematicae
Similarity:
Sums of Continuous Plurisubharmonic Functions and the Complex Monge-Ampère Operator in ....n.
Urban Cegrell (1986)
Mathematische Zeitschrift
Similarity:
Regularity of Generalized Solutions of Monge-Ampère Equations.
John I.E. Urbas (1988)
Mathematische Zeitschrift
Similarity: