Regularity of thep-harmonic maps with potential

Yu‐Ming Chu, Xiangao Liu · Pacific Journal of Mathematics · 2008

The aim of this work is to prove partial regularity of the p-harmonic maps with potential.The main difficultly 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 difficulties caused by blowing up. MSC2000: primary 58E20

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