Affine Bernstein problems and Monge-Ampère equations
by Simon, Udo, Li, An-min, Jia, Fang, Xu, Ruiwei
by Simon, Udo, Li, An-min, Jia, Fang, Xu, Ruiwei
by Caffarelli, Luis A., Milman, Mario, Conference on the Monge Ampère Equation: Applications to Geometry and Optimization, Deerfield Beach, Fla, NSF-CBMS Conference on the Monge Ampère Equation: Applications to Geometry and Optimization, Deerfield Beach, Fla.)
The purpose of these lecture notes is to provide an introduction to the theory of complex Monge-Ampere operators (definition, regularity issues, geometric properties of solutions, approximation) on compact Kähler manifolds (with or without boundary). These operators are of centr…