Abstract

The aim of this work is to prove partial regularity of the p-harmonic maps with potential. The main dificultly caused by the potential is in finding the equation satisfied by the scaling function, which breaks down the blow-up processing. We directly estimate the Morrey energy to avoid the dificulties caused by blowing up.

Keywords

harmonic map, partial regularity, potential

Mathematical Subject Classification

Primary: 58E20

Secondary: 35J60

Authors