## 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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061215

Mathematical Reviews number (MathSciNet)
MR1775251

Zentralblatt MATH identifier
0984.34018

#### Citation

Cheung, Leung-Fu; Law, Chun-Kong; Leung, Man-Chun. Bounded positive solutions of rotationally symmetric harmonic map equations. Differential Integral Equations 13 (2000), no. 7-9, 1149--1188.https://projecteuclid.org/euclid.die/1356061215