Inserted: 6 nov 2020
Last Updated: 9 nov 2020
Journal: Mathematics in Engineering
Dedicated to Alberto Farina on the occasion of his 50th birthday
We examine the geometry of the level sets of particular horizontally $p$-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the $p$-capacitary potential of a bounded annulus in the Heisenberg group are strictly starshaped.