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 dierent growth assumptions on the
reaction term, we obtain various existence as well as finite multiplicity results by means of variational and
topological methods and, in particular, arguments from Morse theory.
Lingua originale | English |
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pagine (da-a) | 101-125 |
Numero di pagine | 25 |
Rivista | Advances in Calculus of Variations |
Volume | 9 |
DOI | |
Stato di pubblicazione | Pubblicato - 2016 |
Keywords
- Morse theory
- nonlocal problems