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Construction of singular solutions to the p-harmonic equation and its limit equation for p=∞

✍ Scribed by Gunnar Aronsson

Book ID
105104608
Publisher
Springer
Year
1986
Tongue
English
Weight
749 KB
Volume
56
Category
Article
ISSN
0025-2611

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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 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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<~).