an:01021599
Zbl 0870.35029
Brandolini, L.; Rigoli, M.; Setti, A. G.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group
EN
Electron. Res. Announc. Am. Math. Soc. 2, No. 3, 101-107 (1996).
00041557
1996
j
35H10 35J70 43A80
CR-Yamabe problem
Summary: We study nonexistence, existence and uniqueness of positive solutions of the equation \(\Delta_{H^n}u+a(x)u-b(x)u^\sigma =0\) with \(\sigma >1\) on the Heisenberg group \(H^n\). Our results hold, with essentially no changes, also for the Euclidean version of the above equation. Even in this case they appear to be new.