Geodesic
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group
Brandolini, L.1 ; Rigoli, M.1 ; Setti, A.1
1 Dipartimento di Matematica, Via Saldini 50, 20133 Milano, Italy
Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 3, pp. 101-107.

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S1079-6762-96-00014-5

Brandolini, L. 1 ; Rigoli, M. 1 ; Setti, A. 1

1 Dipartimento di Matematica, Via Saldini 50, 20133 Milano, Italy 
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Brandolini, L.; Rigoli, M.; Setti, A. On the existence of positive solutions of Yamabe-type equations on the Heisenberg group. Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 3, pp. 101-107. doi : 10.1090/S1079-6762-96-00014-5. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-96-00014-5/

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