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Unbounded positive entire solutions of rotationally symmetric harmonic map equations

✍ Scribed by Man-Chun Leung

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
590 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis

We study the existence of unbounded positive entire C2-solutions of the rotationally symmetric harmonic map equations. Using the existence result, we solve the Dirichlet problem at infinity for any nonnegative boundary value at infinity. (~) 1999 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Uniqueness of positive solutions to the
Uniqueness of positive solutions to the rotationally symmetric p-harmonic map equations
✍ Leung-Fu Cheung; Chun-Kong Law; Man-Chun Leung πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 491 KB

Let ~ and ]~ be positive solutions on (0, ~) to the rotationally symmetric p-harmonic map equation on model manifolds M(f) and M(ff), where f is assumed to he sufficiently large near infinity and g"(y) >1 0 for y>0. We show that if and fl have the same limit at infinity, then ~ -]~ on (0, o<~).