## Differential and Integral Equations

### Bounded positive solutions of rotationally symmetric harmonic map equations

#### Abstract

We consider bounded positive solutions $\alpha$ of rotationally symmetric harmonic map equations. We study the continuity of the maps $\alpha' (0) \mapsto \alpha (\infty)$ and $\alpha (1) \mapsto \alpha (\infty)$ in connection with the Dirichlet problem at infinity. Regularity at zero, local properties and conditions for positive solutions to be blowing up, unbounded, or bounded are discussed.

#### Article information

Source
Differential Integral Equations, Volume 13, Number 7-9 (2000), 1149-1188.

Dates
First available in Project Euclid: 21 December 2012