Geodesic
Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group
Bollettino della Unione matematica italiana, Série 8, 1B (1998) no. 1, pp. 139-168.

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In questa nota dimostriamo stime asintotiche ottimali per le soluzioni deboli non negative del problema al contorno \begin{equation*} -\Delta_{\mathbb{H}^{n}}u=u^{(Q+2)/(Q-2)} \quad in \Omega, \quad u=0 \text{ in } \partial\Omega. \tag*{(*)} \end{equation*}$-\Delta_{\mathbb{H}^{n}}$ è il Laplaciano di Kohn sul gruppo di Heisenberg $\mathbb{H}^{n}$, $\Omega$ è un aperto non limitato e $Q=2n+2$ è la dimensione omogenea di $\mathbb{H}^{n}$. Utilizziamo successivamente le stime ottenute per dimostrare un teorema di non esistenza per (*) nel caso in cui $\Omega$ sia un semispazio di $\mathbb{H}^{n}$ con bordo parallelo al centro del gruppo. 
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Lanconelli, E.; Uguzzoni, F. Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group. Bollettino della Unione matematica italiana, Série 8, 1B (1998) no. 1, pp. 139-168. http://geodesic.mathdoc.fr/item/BUMI_1998_8_1B_1_a7/

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