The Complex Monge-Amp©·re Equation and Pluripotential Theory
| Author/creator | Kolodziej, Slawomir, 1961- Author |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society |
| Description | 64 p. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Supplemental Content | Full text available from Memoirs of the American Mathematical Society - Backfile |
| Subjects |
| Series | Memoirs of the American Mathematical Society Ser. 178 |
| Summary | Annotation A collection of results on the existence and stability of weak solutions of complex Monge-Amp©♭re 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 complex Monge-Amp©♭re equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of theequation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Amp©♭re equation on compact K©Þhlermanifolds. This is a generalization of the Calabi-Yau theorem |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2005052415 |
| ISBN | 9780821837634 |
| ISBN | 082183763X (Trade Paper) Active Record |
| Standard identifier# | 9780821837634 |
| Stock number | MEMO/178/840 00001436 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |