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