Monge Ampere equations I am a graduate student trying to understand complex Monge-Ampere equations(mostly on complex manifolds with or without boundary, but also in C^n), but I can't put my hand on any monograph/textbook discussing this problem thoroughly. Is there anything out there that could help me? If there isn't, can any of you folks tell me with what articles I should start my reading?
Any piece of information is appreciated. 
 A: Kołodziej's and Klimek's books are very good, and Demailly's online book also has useful material. You can also try with Zbigniew Błocki's lecture notes
http://gamma.im.uj.edu.pl/~blocki/publ/ln/wykl.pdf
http://gamma.im.uj.edu.pl/~blocki/publ/ln/tln.pdf
This classical paper of Caffarelli-Kohn-Nirenberg-Spruck is also a must!
For the case of compact Kähler manifolds, apart from Błocki's notes above, I would also recommend Siu's book and this Asterisque book in French.
A: Klimek's book is a good starting point for the theory in $\mathbb{C}^n$. For manifolds, go to:
Kołodziej, Sławomir The complex Monge-Ampère equation and pluripotential theory.  Mem. Amer. Math. Soc.  178  (2005),  no. 840, x+64 pp. 
A: Though it doesn't focus exclusively on complex Monge-Ampere equations, I learnt a lot from Gilbarg and Trudinger's book "Elliptic pdes of second order".
A: It's rather too late. However, Vincent Guedj and Ahmed Zeriahi, Degenerate Complex Monge-Ampere Equations seems to be a very carefully written book.
