Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.
Poletsky,Plurisubharmonic functions as solutions of variational problems, in Several Complex Variables and Complex Geometry, Part 1 (Santa Cruz, Calif., 1989) (E
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Regularity of rooftop envelopes
Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.