Exotic solutions of the conformal scalar curvature equation in R-n

Authors
Leung, MC
Citation
Mc. Leung, Exotic solutions of the conformal scalar curvature equation in R-n, ANN IHP-AN, 18(3), 2001, pp. 297-307
Citations number
27
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN journal
02941449 → ACNP
Volume
18
Issue
3
Year of publication
2001
Pages
297 - 307
Database
ISI
SICI code
0294-1449(200105/06)18:3<297:ESOTCS>2.0.ZU;2-D
Abstract
We construct global exotic solutions of the conformal scalar curvature equa tion Deltau + [n(n - 2)/4]Ku((n+2))/((n-2)) = 0 in R-n, with K(x) approachi ng 1 near infinity in order as close to the critical exponent as possible. (C) 2001 Editions scientifiques et medicales Elsevier SAS.