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Approximation of p-harmonic maps by the penalized equation

โœ Scribed by Masashi Misawa


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
449 KB
Volume
47
Category
Article
ISSN
0362-546X

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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<~).