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A theorem of Liouville type for p-harmonic maps in weighted Riemannian manifolds

A theorem of Liouville type for p-harmonic maps in weighted Riemannian manifolds

Let M be a weighted Riemannian manifold with non-negative Bakry-Émery-Ricci curvature and N be a complete Riemannian manifold of non-positive sectional curvature. In this paper, the p-harmonic map u: M → N is studied, and a theorem of Liouville type is obtained.