We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds / P. Mastrolia, D..D. Monticelli, F. Punzo. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 367:3-4(2017 Apr), pp. 929-963.
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia;D..D. Monticelli;F. Punzo
2017
Abstract
We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MMP-Parabolic23_10_15 (revised).pdf
Open Access dal 11/07/2018
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
404.26 kB
Formato
Adobe PDF
|
404.26 kB | Adobe PDF | Visualizza/Apri |
|
10.1007_s00208-016-1393-2.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
660.15 kB
Formato
Adobe PDF
|
660.15 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
