Prescribed scalar curvature on then-sphere |
| |
Authors: | Richard Schoen Dong Zhang |
| |
Institution: | (1) Mathematics Department, Stanford University, 94305 Stanford, CA, USA;(2) Mathematics Department, Johns Hopkins University, 21218 Baltimore, MD, USA |
| |
Abstract: | This paper considers the prescribed scalar curvature problem onS
n
forn>-3. We consider the limits of solutions of the regularization obtained by decreasing the critical exponent. We characterize those subcritical solutions which blow up at the least possible energy level, determining the points at which they can concentrate, and their Morse indices. We then show that forn=3 this is the only blow up which can occur for solutions. We use this in combination with the Morse inequalities for the subcritical problem to obtain a general existence theorem for the prescribed scalar curvature problem onS
3.This article was processed by the author using the
style filepljourlm from Springer-Verlag. |
| |
Keywords: | 53C21 58E11 |
本文献已被 SpringerLink 等数据库收录! |
|