We study the steady state solutions of a generalized logistic-type equation on a complete Riemannian manifold. We provide sufficient conditions for existence, respectively non-existence of positive solutions, which depend on the relative size of the coefficients and their mutual interaction with the geometry of the manifold, which is mostly taken into account by means of conditions on the volume growth of geodesic balls.
Existence and non-existence results for a logistic-type equation on manifolds
PIGOLA, STEFANO;SETTI, ALBERTO GIULIO
2010-01-01
Abstract
We study the steady state solutions of a generalized logistic-type equation on a complete Riemannian manifold. We provide sufficient conditions for existence, respectively non-existence of positive solutions, which depend on the relative size of the coefficients and their mutual interaction with the geometry of the manifold, which is mostly taken into account by means of conditions on the volume growth of geodesic balls.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
PigolaRigoliSetti, Existence and non-existence results for a logistic type equation on manifolds, TAMS 362 (2010).pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
375.83 kB
Formato
Adobe PDF
|
375.83 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
