Abstract
Following the work of G. Citti and F. Uguzzoni who studied Yamabe type problems on Heisenberg group domains, we consider here the following critical semi-linear equation on domains of the Heisenberg group
:
where Δ
H
is the sublaplacian on
and
K
is a
C
3
positive function defined on Ω. Using a version of the Morse Lemma at infinity, we give necessary conditions on
K
to insure the existence of solutions for (P).