Rotationally Symmetric F-harmonic Maps Equations
classification
dg-ga
math.DG
keywords
mapspositiverotationallysolutionssymmetricasymptoticboundedcertain
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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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