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The complex Monge-Ampère equation and pluripotential theory /
A collection of results on the existence and stability of weak solutions of complex Monge-Ampére equation proved by applying pluripotential theory methods and obtained in past three decades. Firstly introducing basic concepts and theorems of pluripotential theory, then the Dirichlet problem for the...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, R.I. :
American Mathematical Society,
2005.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 840. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 1. Positive currents and plurisubharmonic functions 2. Siciak's extremal function and a related capacity 3. The Dirichlet problem for the Monge-Ampère equation with continuous data 4. The Dirichlet problem continued 5. The Monge-Ampère equation for unbounded functions 6. The complex Monge-Ampère equation on a compact Kähler manifold.