Integrability of rotationally symmetric n-harmonic maps
โ Scribed by Chao-Nien Chen; L.F. Cheung; Y.S. Choi; C.K. Law
- Book ID
- 108175586
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 133 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
We study a second order ordinary differential equation which is the EulerLagrange equation of the energy functional for maps with prescribed rotational symmetry. We obtain Liouville's type theorems for symmetric harmonic maps into ellipsoids, Euclidean and Hyperbolic spaces, and existence results as
We study the existence of unbounded positive entire C2-solutions of the rotationally symmetric harmonic map equations. Using the existence result, we solve the Dirichlet problem at infinity for any nonnegative boundary value at infinity. (~) 1999 Elsevier Science Ltd. All rights reserved.