On the perimeter of the intersection of congruent disks.

Bezdek, Károly; Connelly, Robert; Csikós, Balázs

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Plurisubharmonic saddles

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A certain linear growth of the pluricomplex Green function of a bounded convex domain of $ℂ^{N}$ at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.