Exotic solutions of the conformal scalar curvature equation in ℝn
Man Chun Leung
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore
Abstract
We construct global exotic solutions of the conformal scalar curvature equation Δu+[n(n−2)/4]Ku(n+2)/(n−2)=0 in ℝn, with K(x) approaching 1 near infinity in order as close to the critical exponent as possible.
Résumé
Nous construisons des solutions globales exotiques de l’équation courbure scalaire conforme Δu+[n(n−2)/4]Ku(n+2)/(n−2)=0 dans ℝn, avec K(x)→1 quand |x|→∞.
Cite this article
Man Chun Leung, Exotic solutions of the conformal scalar curvature equation in ℝn. Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001), no. 3, pp. 297–307
DOI 10.1016/S0294-1449(01)00067-1