Monge Ampere equations

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.

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.

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".