The Complex Monge-Ampere Equation and Pluripotential Theory

The Complex Monge-Ampere Equation and Pluripotential Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 82
Release :
ISBN-10 : 9780821837634
ISBN-13 : 082183763X
Rating : 4/5 (34 Downloads)

Book Synopsis The Complex Monge-Ampere Equation and Pluripotential Theory by : Sławomir Kołodziej

Download or read book The Complex Monge-Ampere Equation and Pluripotential Theory written by Sławomir Kołodziej and published by American Mathematical Soc.. This book was released on 2005 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation 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-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.


The Complex Monge-Ampere Equation and Pluripotential Theory Related Books

The Complex Monge-Ampere Equation and Pluripotential Theory
Language: en
Pages: 82
Authors: Sławomir Kołodziej
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and o
The Complex Monge-Ampère Equation and Pluripotential Theory
Language: en
Pages: 64
Authors: Sławomir Kołodziej
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This is a collection of results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory metho
Pluripotential Theory
Language: en
Pages: 296
Authors: Maciej Klimek
Categories: Mathematics
Type: BOOK - Published: 1991 - Publisher:

DOWNLOAD EBOOK

Pluripotential theory is a recently developed non-linear complex counterpart of classical potential theory. Its main area of application is multidimensional com
Pluripotential Theory
Language: en
Pages: 328
Authors: Giorgio Patrizio
Categories: Mathematics
Type: BOOK - Published: 2013-05-16 - Publisher: Springer

DOWNLOAD EBOOK

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session
Degenerate Complex Monge-Ampère Equations
Language: en
Pages: 472
Authors: Vincent Guedj
Categories:
Type: BOOK - Published: - Publisher:

DOWNLOAD EBOOK