<i>C</i><sup>1,1</sup> regularity for degenerate complex Monge–Ampère equations and geodesic rays
<i>C</i><sup>1,1</sup> regularity for degenerate complex Monge–Ampère equations and geodesic rays
We prove a C1,1 estimate for solutions of complex Monge–Ampère equations on compact Kähler manifolds with possibly nonempty boundary, in a degenerate cohomology class. This strengthens previous estimates of Phong–Sturm. As applications we deduce the local C1,1 regularity of geodesic rays in the space of Kähler metrics associated to a …