Liouville Theorems of Weakly Φ(3)-harmonic Map with Potential
A generalized functional EΦ(3),H was mainly introduced,and a definition of weakly Φ(3)-harmonic map with potential H was given with respect to the generalized functional.By using the stress-energy tensor,some Liouville type results for these maps were obtained under conditions on H and the curvature conditions of the domain manifold.
weakly Φ(3)-harmonic map with potentialLiouville theoremstress-energy tensor
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