The scalar curvature equation on 2- and 3-spheres
- Cite this article as:
- Chang, SY.A., Gursky, M.J. & Yang, P.C. Calc. Var (1993) 1: 205. doi:10.1007/BF01191617
- 229 Downloads
In this article we obtain a priori estimates for solutions to the prescribed scalar curvature equation on 2- and 3-spheres under a nondegeneracy assumption on the curvature function. Using this estimate, we use the continuity method to demonstrate the existence of solutions to this equation when a map associated to the given curvature function has non-zero degree.