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. 



Monge Ampere equations
[Kołodziej's](http://www.ams.org/mathscinet-getitem?mr=2172891) and [Klimek's](http://www.ams.org/mathscinet-getitem?mr=1150978) books are very good, and [Demailly's online book](http://www-fourier.ujf-grenoble.fr/~demailly/manuscripts/agbook.pdf) 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](http://dx.doi.org/10.1002/cpa.3160380206) is also a must!


For the case of compact Kähler manifolds, apart from Błocki's notes above, I would also recommend [Siu's book](http://www.ams.org/mathscinet-getitem?mr=0904673) and [this Asterisque book](http://www.ams.org/mathscinet-getitem?mr=0525893) in French.


