Full paper in PDF:
$%Z. Djadli, Nonlinear elliptic equations involving critical Sobolev exponent on
compact Riemannian
manifolds in presence of symmetries, Rev. Mat. Complut. 12 (1999), no. 1, 201–229.
%$
ABSTRACT
In this paper, we study a nonlinear elliptic equation with critical exponent,
invariant under the action of a subgroup of the isometry group of a compact
Riemannian manifold. We obtain some existence results of positive solutions of
this equation, and under some assumptions on
, we show that we can solve
this equation for supercritical exponents.
1991 Mathematics Subject Classification: 58G03, 35J60.