Some Constancy Results for Harmonic Maps from Non-contractable Domains into Spheres
Date
2000-06-14
Authors
Zhang, Kewei
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We use the Pohozaev identity on sub-domains of a Euclidean r-neighbourhood for a closed or broken curve to show that harmonic maps from such domains into spheres with constant boundary value remain constant.
Description
Keywords
Harmonic maps, Uniqueness, Pohozaev identity, Closed geodesics, Tubular neighbourhoods
Citation
Zhang, K. (2000). Some constancy results for harmonic maps from non-contractable domains into spheres. <i>Electronic Journal of Differential Equations, 2000</i>(45), pp. 1-13.
Rights
Attribution 4.0 International