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The Complex Monge-Ampere Equation and Pluripotential Theory.


The complex Monge-Ampere equation and pluripotential theory.

Kolodziej, Slawomir.

Amer. Mathematical Society


64 pages



Memoirs of the American Mathematical Society; v.178, no.840


This paper surveys the existence theorems for the complex Monge- Ampere equation which are proved by pluripotential theory methods. The author studies the Dirichlet problem for the complex Monge- Ampere equation, proves the stability of weak solutions of the equation on compact Kahler manifolds, and generalizes the Calabi- Yau theorem. No index is provided.

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Publication:SciTech Book News
Article Type:Book Review
Date:Sep 1, 2006
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