A nonexistence result on harmonic diffeomorphisms between punctured   spaces
  In this paper, we will prove a result of nonexistence on harmonic diffeomorphisms between punctured spaces. In particular, we will given an elementary proof to the nonexistence of rotationally symmetric harmonic diffeomorphisms from the punctured Euclidean space onto the punctured hyperbolic space. 
Shi-Zhong Du and Xu-Qian Fan
math.DG