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.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
- George A. Anastassiou, A New Expansion Formula , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Iris A. López, On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
- 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
- Xu You, Approximation and inequalities for the factorial function related to the Burnside’s formula , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- 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
- Mahdi Zreik, On the approximation of the δ-shell interaction for the 3-D Dirac operator , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Goutam Haldar, Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 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