The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open.
CHU Yuming & LIU Xiangao Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
