Rotationally Symmetric F-harmonic Maps Equations

Details Rotationally Symmetric F-harmonic Maps Equations Rotationally Symmetric F-harmonic Maps Equations

1996-05-27

arxiv.org/abs/dg-ga/9605008v1

Mathematics

Differential Geometry

LaTex, 21 pages

Scientific paper

We study a second order differential equation corresponding to rotationally
symmetric $F$-harmonic maps between certain noncompact manifolds. We show
unique continuation and Liouville's type theorems for positive solutions.
Asymptotic properties and the existence of bounded positive solutions are
investigated.

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