Continuity of Plurisubharmonic Envelopes in \mathbb{C}^2

We show that in \mathbb{C}^2 if the set of strongly regular points are closed in the boundary of a smooth bounded pseudoconvex domain, then the domain is c-regular, that is, the plurisubharmonic upper envelopes of functions continuous up to the boundary are continuous on the closure of the domain. Using... Show more