Abstract The fast growing solutions of the following linear differential equation $$(*)$$ ( ∗ ) is investigated by using a more general scale $${[p,q]_{,\varphi }}$$ [ p , <mml:m...

We prove a global version of the classical result that p-harmonic functions belong to Wloc2,2 for 1<p<3+2n−2. The proof relies on Cordes' matrix inequalities [7] and techniques from work Cianchi Maz'ya [5], [6].