Continuity of envelopes of unbounded plurisubharmonic functions
On bounded B-regular domains, we study envelopes of plurisubharmonic functions bounded from above by a function ϕ which is continuous in the extended reals on the closure of the domain. For ϕ satisfying certain additional criteria limiting its behavior at the singularities, we establish a set where the Perron–Bremermann envelope Pϕ is guaranteed to be continuous. This result is a generalization of
