We present an elementary argument of the regularity of weak harmonic maps of a surface into the spheres, as well as the partial regularity of stationary harmonic maps of a higher-dimensional domain into the spheres. The argument does not make use of the structure of Hardy spaces.
A Note on the Valency of Harmonic Maps
โ Scribed by Abdallah Lyzzaik
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 179 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
We give an example of a 6-valent harmonic mapping of the open unit disc onto a bounded close-to-convex domain which extends continuously to the unit circle as a 2-valent local homeomorphism onto the boundary of the image domain. แฎ 1998
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