Existence results for fractional p-Laplacian problems via Morse theory

Marco Squassina, Antonio Iannizzotto, Shibo Liu, Kanishka Perera

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

126 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)101-125
Numero di pagine25
RivistaAdvances in Calculus of Variations
Volume9
Stato di pubblicazionePubblicato - 2016

Keywords

  • Morse theory
  • nonlocal problems

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