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Exotic solutions of the conformal scalar curvature equation in Rn

✍ Scribed by Man Chun Leung

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
91 KB
Volume
18
Category
Article
ISSN
0294-1449

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✦ Synopsis

We construct global exotic solutions of the conformal scalar curvature equation u + [n(n -2)/4]Ku (n+2)/(n-2) = 0 in R n , with K(x) approaching 1 near infinity in order as close to the critical exponent as possible. ο›™ 2001 Γ‰ditions scientifiques et mΓ©dicales Elsevier SAS

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In this paper we derive a local estimate of a positive singular solution u near its singular set Z of the conformal scalar curvature equation where K(x) is a positive continuous function, Z is a compact subset of Ξ©, and g satisfies that Assuming that the order of flatness at critical points of K o