TY - JOUR T1 - Non-existence for Harmonic Maps on Complete Noncompact Manifolds JO - Journal of Partial Differential Equations VL - 3 SP - 281 EP - 288 PY - 1999 DA - 1999/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5541.html KW - Asymptotically nonnegative curvature KW - harmonic map: convex ball non-existence AB - In this paper, we prove a nonexistence theorem on harmonic maps. This generalizes the well-known Liouville-type theorem on harmonic maps due to S.Y. Cheng and H.I Choi.