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.
机构:
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R ChinaChinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Hsu, De Liang
Li, Jia Yu
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机构:
Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R ChinaChinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China