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arxiv: dg-ga/9604006 · v1 · submitted 1996-04-23 · dg-ga · math.DG

Rotationally Symmetric p-harmonic maps

classification dg-ga math.DG
keywords positivesolutionsharmonicmapsrotationallysymmetricasymptoticbounded
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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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