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On the Asymptotic Behavior of Rotationally Symmetrical Harmonic Maps

✍ Scribed by A. Ratto; M. Rigoli

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 399 KB
Volume: 101
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1002

No coin nor oath required. For personal study only.

✦ Synopsis

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 well. " 1993 Academic Press. Inc.

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