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
- L. P. Castro, A. S. Silva, Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Yogesh J. Bagul, Christophe Chesneau, Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Alexander Pankov, Discrete almost periodic operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Luciano Souza, Wilson Rosa de O. Júnior, Cícero Carlos R. de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira, Tan-G class of trigonometric distributions and its applications , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- E. A. Eljamal, M. Darus, Majorization for certain classes of analytic functions defined by a new operator , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- George A. Anastassiou, A New Expansion Formula , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Hleili Khaled, Omri Slim, Lakhdar Rachdi, Uncertainty principle for the Riemann-Liouville operator , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- L.T. Rachdi, A. Rouz, Homogeneous Besov spaces associated with the spherical mean operator , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
