On periodic p-harmonic functions on Cayley tree

We show that any periodic with respect to normal subgroups (of the group representation of the Cayley tree) of finite index p-harmonic function is a constant. For some normal subgroups of infinite index we describe a class of (non-constant) periodic pharmonic functions. If p 6= 2, the p-harmonicity is non-linear, i.e., the linear combination of p-harmonic… CONTINUE READING