K. Takegoshi, A MAXIMUM PRINCIPLE FOR P-HARMONIC MAPS WITH L-Q FINITE-ENERGY, Proceedings of the American Mathematical Society, 126(12), 1998, pp. 3749-3753
We show a maximum principle for P-harmonic maps with L-q-finite energy
. As an application we can generalize a non-existence theorem for harm
onic maps with finite Dirichlet integral by Schoen and Yau to those ma
ps.