Complex Monge Ampere Equations
  This is a survey of some of the recent developments in the theory of complex Monge-Ampere equations. The topics discussed include refinements and simplifications of classical a priori estimates, methods from pluripotential theory, variational methods for big cohomology classes, semiclassical constructions of solutions of homogeneous equations, and envelopes. 
D. H. Phong, Jian Song and J. Sturm
math.DG math.CV