Rotationally Symmetric $p$-harmonic maps

Details Rotationally Symmetric $p$-harmonic maps Rotationally Symmetric $p$-harmonic maps

1996-04-23

arxiv.org/abs/dg-ga/9604006v1

Mathematics

Differential Geometry

LaTex, 41 pages

Scientific paper

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

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