Critical fractional p-Laplacian problems with possibly vanishing potentials

Marco Squassina, Kanishka Perera, Yang Yang

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

18 Citazioni (Scopus)

Abstract

We obtain nontrivial solutions of a critical fractional p-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable for applying classical linking arguments. We overcome this difficulty using a generalized linking construction based on the Z2-cohomological index
Lingua originaleEnglish
pagine (da-a)818-831
Numero di pagine14
RivistaJournal of Mathematical Analysis and Applications
Volume433
Stato di pubblicazionePubblicato - 2016

Keywords

  • Vanishing potentials
  • fractional p-Laplacians

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