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Uniqueness of positive solutions to the rotationally symmetric p-harmonic map equations

✍ Scribed by Leung-Fu Cheung; Chun-Kong Law; Man-Chun Leung

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
491 KB
Volume
88
Category
Article
ISSN
0377-0427

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✦ Synopsis

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<~).

πŸ“œ SIMILAR VOLUMES

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✍ Man-Chun Leung πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 590 KB

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.

Explicit representations of the regular
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✍ Isabel Cação; Denis Constales; Rolf SΓΆren Kraußhar πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## Abstract In this paper we consider a generalization of the classical time‐harmonic Maxwell equations, which as an additional feature includes a radial symmetric perturbation in the form of the Euler operator $E:={\textstyle\sum\nolimits\_{i}}\,x\_i {\partial }/{\partial x\_i}$. We show how one