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Harmonic extensions of symmetric maps

✍ Scribed by Anestis Fotiadis


Publisher
Springer
Year
2008
Tongue
English
Weight
171 KB
Volume
35
Category
Article
ISSN
0944-2669

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On the Asymptotic Behavior of Rotational
✍ A. Ratto; M. Rigoli πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 399 KB

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