The complex Monge-Ampére equation and methods of pluripotential theory
-
Slawomir Kolodziej
Kolodziej@im.uj.edu.pl
Downloads
Abstract
One can prove fairly sharp results on the existence of weak solutions to the complex Monge-Ampére equation applying the methods based on the concept of the positive current. We survey those results both in a strictly pseudoconvex domain and on a compact Kähler manifold.
Keywords
Similar Articles
- S.S. Dragomir, Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Joachim Toft, Pseudo-differential operators with smooth symbols on modulation spaces , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- J. Blot, D. Pennequin, Gaston M. N‘Gu´er´ekata, Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Saleh S. Almuthaybiri, Jagan Mohan Jonnalagadda, Christopher C. Tisdell, Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Masaya Kawamura, On the conformally \(k\)-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Abdi Oli, Kelelaw Tilahun, G. V. Reddy, The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Volodymyr Sushch, Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2004-03-01
How to Cite
[1]
S. Kolodziej, “The complex Monge-Ampére equation and methods of pluripotential theory”, CUBO, vol. 6, no. 1, pp. 259–279, Mar. 2004.
Issue
Section
Articles
