The Perron-Bremermann envelope for $q$-plurisubharmonic functions on unbounded domains in ${\mathbb{C}}^n$

Thomas Pawlaschyk

Let $D$ be an unbounded domain in ${\mathbb{C}}^n$, and let $f$ be a bounded continuous function prescribed on the boundary of $D$. We show that, if $D$ has $r$-peak points on its bo…