We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of continuum mechanics, phase transition phenomena, population dynamics and game theory. Under different growth assumptions on the reaction term, we obtain existence as well as finite multiplicity results by means of variational and topological methods and, in particular, arguments from Morse theory
Existence results for fractional p-Laplacian problems via Morse theory
IANNIZZOTTO, ANTONIO;
2016-01-01
Abstract
We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of continuum mechanics, phase transition phenomena, population dynamics and game theory. Under different growth assumptions on the reaction term, we obtain existence as well as finite multiplicity results by means of variational and topological methods and, in particular, arguments from Morse theory
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Iannizzotto-Liu-Perera-Squassina-ACV.pdf
Solo gestori archivio
Descrizione: Articolo principale
Tipologia:
versione post-print (AAM)
Dimensione
2.02 MB
Formato
Adobe PDF
|
2.02 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
