A Psh Hopf Lemma for Domains with Cusp Conditions
arXiv:2112.09480
Abstract
We obtain a psh Hopf lemma for domains satisfying certain cusp conditions by using a sharp estimate for the Green function of a planar cusp along the axis. As an application, we obtain a negative psh exhaustion function with certain global growth estimate on a pseudoconvex domain with Hölder boundary.