Codice QDD 139 Titolo Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models Data 2012-11-12 Autore/i Berchio, E.; Ferrero, A.; Grillo, G. Link Download full text Abstract We study existence, uniqueness and stability of radial solutions of the Lane-Emden-Fowler equation - Delta_g u=|u|^{p-1}u in a class of Riemannian models (M,g) of dimension n>2 which includes the classical hyperbolic space H^n as well as manifolds with sectional curvatures unbounded below. Sign properties and asymptotic behavior of solutions are influenced by the critical Sobolev exponent while the so-called Joseph-Lundgren exponent is involved in the stability of solutions.