On the elliptic equation \(\Delta(u) + K(x)u^{(n+2)/(n-2)}=0\), its generalizations, and applications in geometry. (English) Zbl 0496.35036

Ni, Wei-Ming

Indiana Univ. Math. J. 31, 493-529 (1982).

MSC:

35J60	Nonlinear elliptic equations
35A05	General existence and uniqueness theorems (PDE) (MSC2000)
35B05	Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
53A30	Conformal differential geometry (MSC2010)

Keywords:

scalar curvature; Riemannian metric; existence; positive solutions; method of barriers; nonlinear oscillation theory for differential inequalities; averaging method

Citations:

Zbl 0487.35042