Let (X, ω) be a compact Hermitian manifold of complex dimension n. I shall discuss some recent results concerning weak solutions to the complex Monge-Ampère equation and, the more general, complex Hessian equation (ω+ddc φ)k∧ωn−k =cfωn,(where 0≤f belongs to some Lp space) including existence, stability and H ̈older continuity. They were obtained in collaboration with S lawomir Dinew and Cuong Ngoc Nguyen. I would like to high-light interesting open problems.
De Robert Berman
De Frédéric Campana
De Tamás Darvas
De Shing-Tung Yau
De Slawomir Kolodziej
De Ngaiming Mok
De Claire Voisin
De Martin Traizet
De Richard Schoen
