Abstract
LetM, N be complete manifolds,u:M →N be a harmonic map with potentialH, namely, a critical point of the functionalE H (u)=∫ M [e(u) − H(u)], wheree(u) is the energy density ofu. We will give a Liouville theorem foru with a class of potentialsH’s.
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Research supported in part by NNSFC, SFECC and NSFCCNU.