Asymptotic behavior of positive solutions of the equation Delta(g)u+Ku(p)=0 in a complete Riemannian manifold and positive scalar curvature

Authors
Leung, MC
Citation
Mc. Leung, Asymptotic behavior of positive solutions of the equation Delta(g)u+Ku(p)=0 in a complete Riemannian manifold and positive scalar curvature, COMM PART D, 24(3-4), 1999, pp. 425-462
Citations number
39
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
24
Issue
3-4
Year of publication
1999
Pages
425 - 462
Database
ISI
SICI code
0360-5302(1999)24:3-4<425:ABOPSO>2.0.ZU;2-S
Abstract
We consider the asymptotic behavior of positive solutions of the equation D elta(g)u + Ku(p) = 0 in a complete Riemannian manifold, in association with conformal deformations of a scalar fiat Riemannian metric into complete Ri emannian metrics with scalar curvature bounded between two positive numbers .