O. Druet, GENERALIZED SCALAR CURVATURE TYPE EQUATIONS ON COMPACT RIEMANNIAN-MANIFOLDS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(4), 1998, pp. 377-381
Let (M, g) be a compact Riemannian manifold of dimension n greater tha
n or equal to 2. First, we study the existence of positive solutions f
or generalized scalar curvature type equations; these equations are no
nlinear, of critical Sobolev growth, and involve the p-Laplacian. Then
, we study similar type of equations, but in the presence of a perturb
ation. (C) Academie des Sciences/Elsevier, Paris