We study existence, uniqueness and stability of radial solutions of the Lane–Emden–Fowler equation in a class of Riemannian models (M,g) of dimension which includes the classical hyperbolic space 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.
Stability and qualitative properties of radial solutions of the Lane–Emden–Fowler equation on Riemannian models
GRILLO, GABRIELE
2014-01-01
Abstract
We study existence, uniqueness and stability of radial solutions of the Lane–Emden–Fowler equation in a class of Riemannian models (M,g) of dimension which includes the classical hyperbolic space 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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
JMPA 2014.pdf
Accesso riservato
:
Altro materiale allegato
Dimensione
549.7 kB
Formato
Adobe PDF
|
549.7 kB | Adobe PDF | Visualizza/Apri |
|
JMPA_11311-815718_Grillo.pdf
accesso aperto
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
520.94 kB
Formato
Adobe PDF
|
520.94 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
