2000 Bounded positive solutions of rotationally symmetric harmonic map equations
Leung-Fu Cheung, Chun-Kong Law, Man-Chun Leung
Differential Integral Equations 13(7-9): 1149-1188 (2000). DOI: 10.57262/die/1356061215

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.

Citation

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Leung-Fu Cheung. Chun-Kong Law. Man-Chun Leung. "Bounded positive solutions of rotationally symmetric harmonic map equations." Differential Integral Equations 13 (7-9) 1149 - 1188, 2000. https://doi.org/10.57262/die/1356061215

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0984.34018
MathSciNet: MR1775251
Digital Object Identifier: 10.57262/die/1356061215

Subjects:
Primary: 34B18
Secondary: 35A30 , 35B05 , 58E20

Rights: Copyright © 2000 Khayyam Publishing, Inc.

Vol.13 • No. 7-9 • 2000
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