Using finite-elements we study the postglacial rebound in an axisymmetric E
arth with a non-Newtonian rheology. Our approach allows for the first time
a self-consistent study of the effect of a power-law creep on the long-wave
length deformations, which cannot be performed using flat models. We show t
hat, for a non-Newtonian upper mantle, the time-variations of the low-degre
e Stokes coefficients become largely insensitive to the viscosity of the lo
wer mantle. This is in contrast with previous evidence based on Newtonian m
odels, which emphasized the importance of the low degree signatures for con
straining the lower mantle viscosity.