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We construct explicit proper p-harmonic functions on rank-one Lie groups ofIwasawa type. This class of Lie groups includes many classical Riemannianmanifolds such as the rank-one symmetric spaces of non-compact type,Damek-Ricci spaces, rank-one Einstein solvmanifolds and Carnot spaces.

Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type