|
|||||
|
|
Integrability of rotationally symmetric n-harmonic maps |
|
| Authors: | Chao-Nien Chen |
| Affiliation: | a Department of Mathematics, National Changhua University of Education, Changhua 500, Taiwan, ROC b Department of Mathematics, The Chinese University of Hong Kong Shatin, Hong Kong c Department of Mathematics, University of Connecticut, Storrs, CT 06269-3009, USA d Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, ROC e National Center for Theoretical Sciences, Taiwan, ROC |
| Abstract: | A rotationally symmetric n-harmonic map is a rotationally symmetric p-harmonic map between two n-dimensional model spaces such that p=n. We show that rotationally symmetric n-harmonic maps can be integrated and are n-harmonic diffeomorphism, and apply such results to investigate the asymptotic behaviors of these maps. We also derive this integrability using Lie theory. |
| Keywords: | p-Harmonic maps n-Harmonic maps Rotational symmetry Model space Dichotomy phenomenon |
| 本文献已被 ScienceDirect 等数据库收录！ | |