Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I. (English) Zbl 0827.53039

Li, Yanyan

J. Differ. Equations 120, No. 2, 319-410 (1995).

This paper presents results as announced in [C. R. Acad. Sci., Paris, Sér. I 317, No. 2, 159-164 (1993)]. See the review in Zbl 0787.53029.

MSC:

53C20	Global Riemannian geometry, including pinching
35J60	Nonlinear elliptic equations
35B45	A priori estimates in context of PDEs
35B40	Asymptotic behavior of solutions to PDEs
53C21	Methods of global Riemannian geometry, including PDE methods; curvature restrictions

Keywords:

scalar curvature; a priori estimates; critical exponent equation; existence; positive solutions; conformally equivalent; blow up analysis

Citations:

Zbl 0787.53029