# Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces

@article{Chen2013RotationallySH, title={Rotationally Symmetric Harmonic Diffeomorphisms between Surfaces}, author={Li Chen and Shi-Zhong Du and Xu-Qian Fan}, journal={Abstract and Applied Analysis}, year={2013}, volume={2013}, pages={1-5} }

We show the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.

## 5 Citations

### ROTATIONALLY SYMMETRIC HARMONIC DIFFEOMORPHISMS IN PLANE

- Mathematics
- 2014

In this paper, we study that the existence of rotationally symmetric harmonic diffeomorphism between the punctured complex plane with hyperbolic metric or Euclidean metric.

### A nonexistence result on harmonic diffeomorphisms between punctured spaces

- Mathematics
- 2014

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…

### An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$

- Mathematics
- 2014

In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$ with rotational symmetry, which is a…

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