Chen, Wenxiong; Li, Congming A priori estimates for prescribing scalar curvature equations. (English) Zbl 0877.35036 Ann. Math. (2) 145, No. 3, 547-564 (1997). This is a remarkable paper in the study of scalar curvature equations. There are two important contributions in this paper. One is that they use the Kelvin transform and the maximum principle to derive estimates on solutions in the region where the prescribed scalar curvature is negative. The other is that they use the moving plane method to compare the values of the solution in the domain where the scalar curvature is small. The estimate obtained in this paper is of its own interest, and it is useful in getting at least one solution in the scalar curvature problem. Reviewer: Ma Li (Beijing) Cited in 74 Documents MSC: 35J60 Nonlinear elliptic equations 35B45 A priori estimates in context of PDEs Keywords:Kelvin transform; moving plane method; scalar curvature problem PDFBibTeX XMLCite \textit{W. Chen} and \textit{C. Li}, Ann. Math. (2) 145, No. 3, 547--564 (1997; Zbl 0877.35036) Full Text: DOI