The scalar curvature equation on 2- and 3-spheres
The scalar curvature equation on 2- and 3-spheres
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DOI：
10.1007/bf01191617
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发表时间：
1993-05
影响因子：
2.1
通讯作者：
S. Chang;M. Gursky;Paul Yang
中科院分区：
文献类型：
--
作者：
S. Chang;M. Gursky;Paul Yang
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.
